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Finding the Fourth Proportional to 132,520.24, 198,668 and 57,584

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Solution

The fourth proportional to 132,520.24, 198,668 and 57,584 is: 86,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,520.24 : 198,668 = 57,584 : x
  2. Step 2: Convert to fraction form
    132,520.24/198,668 = 57,584/x
  3. Step 3: Cross multiply
    132,520.24x = 198,668 × 57,584
  4. Step 4: Simplify right side
    132,520.24x = 11,440,098,112
  5. Step 5: Solve for x
    x = 11,440,098,112/132,520.24
  6. Step 6: Final answer
    x = 86,327.18

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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.