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Finding the Fourth Proportional to 206,217.66, 284,583.74 and 115,593.78

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Solution

The fourth proportional to 206,217.66, 284,583.74 and 115,593.78 is: 159,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,217.66 : 284,583.74 = 115,593.78 : x
  2. Step 2: Convert to fraction form
    206,217.66/284,583.74 = 115,593.78/x
  3. Step 3: Cross multiply
    206,217.66x = 284,583.74 × 115,593.78
  4. Step 4: Simplify right side
    206,217.66x = 32,896,109,655.17
  5. Step 5: Solve for x
    x = 32,896,109,655.17/206,217.66
  6. Step 6: Final answer
    x = 159,521.30

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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.