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Finding the Fourth Proportional to 132,350.40, 198,414 and 57,414.12

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Solution

The fourth proportional to 132,350.40, 198,414 and 57,414.12 is: 86,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,350.40 : 198,414 = 57,414.12 : x
  2. Step 2: Convert to fraction form
    132,350.40/198,414 = 57,414.12/x
  3. Step 3: Cross multiply
    132,350.40x = 198,414 × 57,414.12
  4. Step 4: Simplify right side
    132,350.40x = 11,391,765,205.68
  5. Step 5: Solve for x
    x = 11,391,765,205.68/132,350.40
  6. Step 6: Final answer
    x = 86,072.77

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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.