After losing Kieran Powell early, Johnson Charles and DM Bravo brought some hope to the West Indies side.
However it was short-lived, DM Bravo was caught by Faulkner of a brilliant delivery by Doherty.
Kieran Powell was out for 2, caught Aaron Finch bowled by Mitchell Johnson,
Adam Voges scored his maiden one-day international century to guide Australia to 274 for five wickets in their innings against West Indies at the Melbourne Cricket Ground on Sunday.
The 33-year-old middle order batsman blasted an unbeaten 112 off 106 balls to resurrect Australia's innings after a top-order collapse left the hosts struggling on 82-4 early in the fifth and final match of the series.
A depleted Australia side are bidding to wrap up the series 5-0 without injured captain Michael Clarke and several other first-choice players, who have been rested to head over to India for a four-test tour.
Stand-in skipper Shane Watson was unable to capitalise on his rich run of form and was bowled for a duck with the first ball of the innings by paceman Tino Best.
Best dismissed Watson's fellow opener Aaron Finch for one in his second over, but finished with an expensive 2-71.
Dwayne Bravo captured two wickets, with Devon Thomas taking a fine catch in the slips to dismiss Shaun Marsh for 40 and secure the all-rounder his 150th ODI wicket.
West Indies will start the chase without explosive opener Chris Gayle, who was ruled out with a side injury
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