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Finding the Fourth Proportional to 284,227.10, 392,231.49 and 156,902.66

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Solution

The fourth proportional to 284,227.10, 392,231.49 and 156,902.66 is: 216,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,227.10 : 392,231.49 = 156,902.66 : x
  2. Step 2: Convert to fraction form
    284,227.10/392,231.49 = 156,902.66/x
  3. Step 3: Cross multiply
    284,227.10x = 392,231.49 × 156,902.66
  4. Step 4: Simplify right side
    284,227.10x = 61,542,164,116.76
  5. Step 5: Solve for x
    x = 61,542,164,116.76/284,227.10
  6. Step 6: Final answer
    x = 216,524.62

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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.