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Finding the Fourth Proportional to 132,211.92, 182,454.35 and 71,782.68

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Solution

The fourth proportional to 132,211.92, 182,454.35 and 71,782.68 is: 99,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,211.92 : 182,454.35 = 71,782.68 : x
  2. Step 2: Convert to fraction form
    132,211.92/182,454.35 = 71,782.68/x
  3. Step 3: Cross multiply
    132,211.92x = 182,454.35 × 71,782.68
  4. Step 4: Simplify right side
    132,211.92x = 13,097,061,861.74
  5. Step 5: Solve for x
    x = 13,097,061,861.74/132,211.92
  6. Step 6: Final answer
    x = 99,061.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.