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Finding the Fourth Proportional to 115,524, 159,414.48 and 65,221.92

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Solution

The fourth proportional to 115,524, 159,414.48 and 65,221.92 is: 90,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,524 : 159,414.48 = 65,221.92 : x
  2. Step 2: Convert to fraction form
    115,524/159,414.48 = 65,221.92/x
  3. Step 3: Cross multiply
    115,524x = 159,414.48 × 65,221.92
  4. Step 4: Simplify right side
    115,524x = 10,397,318,461.40
  5. Step 5: Solve for x
    x = 10,397,318,461.40/115,524
  6. Step 6: Final answer
    x = 90,001.37

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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.