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Finding the Fourth Proportional to 87,614.40, 131,306.40 and 77,707.20

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Solution

The fourth proportional to 87,614.40, 131,306.40 and 77,707.20 is: 116,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,614.40 : 131,306.40 = 77,707.20 : x
  2. Step 2: Convert to fraction form
    87,614.40/131,306.40 = 77,707.20/x
  3. Step 3: Cross multiply
    87,614.40x = 131,306.40 × 77,707.20
  4. Step 4: Simplify right side
    87,614.40x = 10,203,452,686.08
  5. Step 5: Solve for x
    x = 10,203,452,686.08/87,614.40
  6. Step 6: Final answer
    x = 116,458.63

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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.