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Finding the Fourth Proportional to 132,140.97, 198,151.91 and 78,857.55

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Solution

The fourth proportional to 132,140.97, 198,151.91 and 78,857.55 is: 118,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,140.97 : 198,151.91 = 78,857.55 : x
  2. Step 2: Convert to fraction form
    132,140.97/198,151.91 = 78,857.55/x
  3. Step 3: Cross multiply
    132,140.97x = 198,151.91 × 78,857.55
  4. Step 4: Simplify right side
    132,140.97x = 15,625,774,347.56
  5. Step 5: Solve for x
    x = 15,625,774,347.56/132,140.97
  6. Step 6: Final answer
    x = 118,250.79

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