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Finding the Fourth Proportional to 206,139.40, 309,209.10 and 161,902.60

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Solution

The fourth proportional to 206,139.40, 309,209.10 and 161,902.60 is: 242,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,139.40 : 309,209.10 = 161,902.60 : x
  2. Step 2: Convert to fraction form
    206,139.40/309,209.10 = 161,902.60/x
  3. Step 3: Cross multiply
    206,139.40x = 309,209.10 × 161,902.60
  4. Step 4: Simplify right side
    206,139.40x = 50,061,757,233.66
  5. Step 5: Solve for x
    x = 50,061,757,233.66/206,139.40
  6. Step 6: Final answer
    x = 242,853.90

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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.