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Finding the Fourth Proportional to 206,494.89, 309,855.15 and 80,140.11

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Solution

The fourth proportional to 206,494.89, 309,855.15 and 80,140.11 is: 120,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,494.89 : 309,855.15 = 80,140.11 : x
  2. Step 2: Convert to fraction form
    206,494.89/309,855.15 = 80,140.11/x
  3. Step 3: Cross multiply
    206,494.89x = 309,855.15 × 80,140.11
  4. Step 4: Simplify right side
    206,494.89x = 24,831,825,805.07
  5. Step 5: Solve for x
    x = 24,831,825,805.07/206,494.89
  6. Step 6: Final answer
    x = 120,253.95

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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.