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Finding the Fourth Proportional to 120,097.27, 165,716.55 and 68,414.83

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Solution

The fourth proportional to 120,097.27, 165,716.55 and 68,414.83 is: 94,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097.27 : 165,716.55 = 68,414.83 : x
  2. Step 2: Convert to fraction form
    120,097.27/165,716.55 = 68,414.83/x
  3. Step 3: Cross multiply
    120,097.27x = 165,716.55 × 68,414.83
  4. Step 4: Simplify right side
    120,097.27x = 11,337,469,596.44
  5. Step 5: Solve for x
    x = 11,337,469,596.44/120,097.27
  6. Step 6: Final answer
    x = 94,402.39

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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.