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Finding the Fourth Proportional to 206,136.89, 309,200.92 and 56,377.18

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Solution

The fourth proportional to 206,136.89, 309,200.92 and 56,377.18 is: 84,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,136.89 : 309,200.92 = 56,377.18 : x
  2. Step 2: Convert to fraction form
    206,136.89/309,200.92 = 56,377.18/x
  3. Step 3: Cross multiply
    206,136.89x = 309,200.92 × 56,377.18
  4. Step 4: Simplify right side
    206,136.89x = 17,431,874,377.00
  5. Step 5: Solve for x
    x = 17,431,874,377.00/206,136.89
  6. Step 6: Final answer
    x = 84,564.56

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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.