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Finding the Fourth Proportional to 120,234.39, 165,976.61 and 71,853.39

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Solution

The fourth proportional to 120,234.39, 165,976.61 and 71,853.39 is: 99,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,234.39 : 165,976.61 = 71,853.39 : x
  2. Step 2: Convert to fraction form
    120,234.39/165,976.61 = 71,853.39/x
  3. Step 3: Cross multiply
    120,234.39x = 165,976.61 × 71,853.39
  4. Step 4: Simplify right side
    120,234.39x = 11,925,981,729.94
  5. Step 5: Solve for x
    x = 11,925,981,729.94/120,234.39
  6. Step 6: Final answer
    x = 99,189.44

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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.