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Finding the Fourth Proportional to 225,614.92, 338,184.24 and 75,713.08

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Solution

The fourth proportional to 225,614.92, 338,184.24 and 75,713.08 is: 113,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,614.92 : 338,184.24 = 75,713.08 : x
  2. Step 2: Convert to fraction form
    225,614.92/338,184.24 = 75,713.08/x
  3. Step 3: Cross multiply
    225,614.92x = 338,184.24 × 75,713.08
  4. Step 4: Simplify right side
    225,614.92x = 25,604,970,417.86
  5. Step 5: Solve for x
    x = 25,604,970,417.86/225,614.92
  6. Step 6: Final answer
    x = 113,489.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.