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Finding the Fourth Proportional to 268,147.92, 402,391.31 and 149,896.83

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Solution

The fourth proportional to 268,147.92, 402,391.31 and 149,896.83 is: 224,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,147.92 : 402,391.31 = 149,896.83 : x
  2. Step 2: Convert to fraction form
    268,147.92/402,391.31 = 149,896.83/x
  3. Step 3: Cross multiply
    268,147.92x = 402,391.31 × 149,896.83
  4. Step 4: Simplify right side
    268,147.92x = 60,317,181,039.06
  5. Step 5: Solve for x
    x = 60,317,181,039.06/268,147.92
  6. Step 6: Final answer
    x = 224,939.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.