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Finding the Fourth Proportional to 120,286.38, 165,917.79 and 82,581.42

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Solution

The fourth proportional to 120,286.38, 165,917.79 and 82,581.42 is: 113,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,286.38 : 165,917.79 = 82,581.42 : x
  2. Step 2: Convert to fraction form
    120,286.38/165,917.79 = 82,581.42/x
  3. Step 3: Cross multiply
    120,286.38x = 165,917.79 × 82,581.42
  4. Step 4: Simplify right side
    120,286.38x = 13,701,726,701.46
  5. Step 5: Solve for x
    x = 13,701,726,701.46/120,286.38
  6. Step 6: Final answer
    x = 113,909.21

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Why These Related Problems?

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