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Finding the Fourth Proportional to 284,175.69, 392,134.50 and 156,843.09

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Solution

The fourth proportional to 284,175.69, 392,134.50 and 156,843.09 is: 216,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,175.69 : 392,134.50 = 156,843.09 : x
  2. Step 2: Convert to fraction form
    284,175.69/392,134.50 = 156,843.09/x
  3. Step 3: Cross multiply
    284,175.69x = 392,134.50 × 156,843.09
  4. Step 4: Simplify right side
    284,175.69x = 61,503,586,675.61
  5. Step 5: Solve for x
    x = 61,503,586,675.61/284,175.69
  6. Step 6: Final answer
    x = 216,428.04

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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.