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Finding the Fourth Proportional to 268,176.92, 402,435.08 and 149,925.83

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Solution

The fourth proportional to 268,176.92, 402,435.08 and 149,925.83 is: 224,983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,176.92 : 402,435.08 = 149,925.83 : x
  2. Step 2: Convert to fraction form
    268,176.92/402,435.08 = 149,925.83/x
  3. Step 3: Cross multiply
    268,176.92x = 402,435.08 × 149,925.83
  4. Step 4: Simplify right side
    268,176.92x = 60,335,412,640.49
  5. Step 5: Solve for x
    x = 60,335,412,640.49/268,176.92
  6. Step 6: Final answer
    x = 224,983.61

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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.