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Finding the Fourth Proportional to 256,115.20, 383,942.40 and 162,572.80

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Solution

The fourth proportional to 256,115.20, 383,942.40 and 162,572.80 is: 243,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,115.20 : 383,942.40 = 162,572.80 : x
  2. Step 2: Convert to fraction form
    256,115.20/383,942.40 = 162,572.80/x
  3. Step 3: Cross multiply
    256,115.20x = 383,942.40 × 162,572.80
  4. Step 4: Simplify right side
    256,115.20x = 62,418,591,006.72
  5. Step 5: Solve for x
    x = 62,418,591,006.72/256,115.20
  6. Step 6: Final answer
    x = 243,712.95

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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.