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Finding the Fourth Proportional to 132,129.14, 198,223.99 and 57,261.85

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Solution

The fourth proportional to 132,129.14, 198,223.99 and 57,261.85 is: 85,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,129.14 : 198,223.99 = 57,261.85 : x
  2. Step 2: Convert to fraction form
    132,129.14/198,223.99 = 57,261.85/x
  3. Step 3: Cross multiply
    132,129.14x = 198,223.99 × 57,261.85
  4. Step 4: Simplify right side
    132,129.14x = 11,350,672,381.78
  5. Step 5: Solve for x
    x = 11,350,672,381.78/132,129.14
  6. Step 6: Final answer
    x = 85,905.90

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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.