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Finding the Fourth Proportional to 120,255.72, 165,941.59 and 81,414.53

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Solution

The fourth proportional to 120,255.72, 165,941.59 and 81,414.53 is: 112,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,255.72 : 165,941.59 = 81,414.53 : x
  2. Step 2: Convert to fraction form
    120,255.72/165,941.59 = 81,414.53/x
  3. Step 3: Cross multiply
    120,255.72x = 165,941.59 × 81,414.53
  4. Step 4: Simplify right side
    120,255.72x = 13,510,057,276.76
  5. Step 5: Solve for x
    x = 13,510,057,276.76/120,255.72
  6. Step 6: Final answer
    x = 112,344.40

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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.