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Finding the Fourth Proportional to 206,375.96, 309,511.92 and 79,972.76

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Solution

The fourth proportional to 206,375.96, 309,511.92 and 79,972.76 is: 119,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.96 : 309,511.92 = 79,972.76 : x
  2. Step 2: Convert to fraction form
    206,375.96/309,511.92 = 79,972.76/x
  3. Step 3: Cross multiply
    206,375.96x = 309,511.92 × 79,972.76
  4. Step 4: Simplify right side
    206,375.96x = 24,752,522,495.30
  5. Step 5: Solve for x
    x = 24,752,522,495.30/206,375.96
  6. Step 6: Final answer
    x = 119,938.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.