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Finding the Fourth Proportional to 265,107.92, 365,837.92 and 144,249.68

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Solution

The fourth proportional to 265,107.92, 365,837.92 and 144,249.68 is: 199,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,107.92 : 365,837.92 = 144,249.68 : x
  2. Step 2: Convert to fraction form
    265,107.92/365,837.92 = 144,249.68/x
  3. Step 3: Cross multiply
    265,107.92x = 365,837.92 × 144,249.68
  4. Step 4: Simplify right side
    265,107.92x = 52,772,002,891.87
  5. Step 5: Solve for x
    x = 52,772,002,891.87/265,107.92
  6. Step 6: Final answer
    x = 199,058.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.