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Finding the Fourth Proportional to 102,212.28, 141,073.92 and 59,781.24

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Solution

The fourth proportional to 102,212.28, 141,073.92 and 59,781.24 is: 82,510.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,212.28 : 141,073.92 = 59,781.24 : x
  2. Step 2: Convert to fraction form
    102,212.28/141,073.92 = 59,781.24/x
  3. Step 3: Cross multiply
    102,212.28x = 141,073.92 × 59,781.24
  4. Step 4: Simplify right side
    102,212.28x = 8,433,573,869.26
  5. Step 5: Solve for x
    x = 8,433,573,869.26/102,212.28
  6. Step 6: Final answer
    x = 82,510.38

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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.