Tricky Triangle Problem

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.