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Finding the Fourth Proportional to 120,042.24, 165,658.68 and 66,327.12

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Solution

The fourth proportional to 120,042.24, 165,658.68 and 66,327.12 is: 91,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,042.24 : 165,658.68 = 66,327.12 : x
  2. Step 2: Convert to fraction form
    120,042.24/165,658.68 = 66,327.12/x
  3. Step 3: Cross multiply
    120,042.24x = 165,658.68 × 66,327.12
  4. Step 4: Simplify right side
    120,042.24x = 10,987,663,147.40
  5. Step 5: Solve for x
    x = 10,987,663,147.40/120,042.24
  6. Step 6: Final answer
    x = 91,531.64

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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.