# Tricky Triangle Problem

Geometry Level 3

In the diagram with coordinates as shown, $$AC = 51$$ and $$BC= 55$$. The ratio of the area of $$\triangle PAB$$ to the area of $$\triangle PAC$$ to the area of $$\triangle PBC$$ is $$1:2:3$$. Determine the ordered pair that represents point $$P$$. Express your answer as an ordered pair $$(k,w)$$ with each member of the ordered pair expressed as a common or improper fraction reduced to the lowest terms.

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