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Finding the Fourth Proportional to 132,350.70, 198,414.40 and 57,414.43

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Solution

The fourth proportional to 132,350.70, 198,414.40 and 57,414.43 is: 86,073.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,350.70 : 198,414.40 = 57,414.43 : x
  2. Step 2: Convert to fraction form
    132,350.70/198,414.40 = 57,414.43/x
  3. Step 3: Cross multiply
    132,350.70x = 198,414.40 × 57,414.43
  4. Step 4: Simplify right side
    132,350.70x = 11,391,849,679.79
  5. Step 5: Solve for x
    x = 11,391,849,679.79/132,350.70
  6. Step 6: Final answer
    x = 86,073.21

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Why These Related Problems?

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