Find the Area

Geometry Level 5

A point \(P\) is chosen in the interior of \(\triangle ABC\) so that liners are drawn through \(P\) parallel to the sides of \(\triangle ABC\), the resulting smaller triangles \(t_1\), \(t_2\), \(t_3\) in \(\triangle ABC\) have areas 4, 9 and 49, respectively. Find the area of \(\triangle ABC\).

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