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Finding the Fourth Proportional to 272,024.80, 408,037.20 and 161,432.80

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Solution

The fourth proportional to 272,024.80, 408,037.20 and 161,432.80 is: 242,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,024.80 : 408,037.20 = 161,432.80 : x
  2. Step 2: Convert to fraction form
    272,024.80/408,037.20 = 161,432.80/x
  3. Step 3: Cross multiply
    272,024.80x = 408,037.20 × 161,432.80
  4. Step 4: Simplify right side
    272,024.80x = 65,870,587,700.16
  5. Step 5: Solve for x
    x = 65,870,587,700.16/272,024.80
  6. Step 6: Final answer
    x = 242,149.20

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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.