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Finding the Fourth Proportional to 132,129.84, 198,225.02 and 57,262.54

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Solution

The fourth proportional to 132,129.84, 198,225.02 and 57,262.54 is: 85,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,129.84 : 198,225.02 = 57,262.54 : x
  2. Step 2: Convert to fraction form
    132,129.84/198,225.02 = 57,262.54/x
  3. Step 3: Cross multiply
    132,129.84x = 198,225.02 × 57,262.54
  4. Step 4: Simplify right side
    132,129.84x = 11,350,868,136.75
  5. Step 5: Solve for x
    x = 11,350,868,136.75/132,129.84
  6. Step 6: Final answer
    x = 85,906.92

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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.