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Finding the Fourth Proportional to 120,039.75, 165,654.18 and 66,324.78

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Solution

The fourth proportional to 120,039.75, 165,654.18 and 66,324.78 is: 91,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,039.75 : 165,654.18 = 66,324.78 : x
  2. Step 2: Convert to fraction form
    120,039.75/165,654.18 = 66,324.78/x
  3. Step 3: Cross multiply
    120,039.75x = 165,654.18 × 66,324.78
  4. Step 4: Simplify right side
    120,039.75x = 10,986,977,044.58
  5. Step 5: Solve for x
    x = 10,986,977,044.58/120,039.75
  6. Step 6: Final answer
    x = 91,527.82

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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.