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Finding the Fourth Proportional to 284,233.32, 392,231.76 and 156,906.18

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Solution

The fourth proportional to 284,233.32, 392,231.76 and 156,906.18 is: 216,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,233.32 : 392,231.76 = 156,906.18 : x
  2. Step 2: Convert to fraction form
    284,233.32/392,231.76 = 156,906.18/x
  3. Step 3: Cross multiply
    284,233.32x = 392,231.76 × 156,906.18
  4. Step 4: Simplify right side
    284,233.32x = 61,543,587,136.28
  5. Step 5: Solve for x
    x = 61,543,587,136.28/284,233.32
  6. Step 6: Final answer
    x = 216,524.89

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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.