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Finding the Fourth Proportional to 284,149.68, 392,129.28 and 156,822.54

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Solution

The fourth proportional to 284,149.68, 392,129.28 and 156,822.54 is: 216,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,149.68 : 392,129.28 = 156,822.54 : x
  2. Step 2: Convert to fraction form
    284,149.68/392,129.28 = 156,822.54/x
  3. Step 3: Cross multiply
    284,149.68x = 392,129.28 × 156,822.54
  4. Step 4: Simplify right side
    284,149.68x = 61,494,709,697.97
  5. Step 5: Solve for x
    x = 61,494,709,697.97/284,149.68
  6. Step 6: Final answer
    x = 216,416.61

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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.