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Finding the Fourth Proportional to 268,423.16, 402,700.49 and 133,550.87

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Solution

The fourth proportional to 268,423.16, 402,700.49 and 133,550.87 is: 200,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,423.16 : 402,700.49 = 133,550.87 : x
  2. Step 2: Convert to fraction form
    268,423.16/402,700.49 = 133,550.87/x
  3. Step 3: Cross multiply
    268,423.16x = 402,700.49 × 133,550.87
  4. Step 4: Simplify right side
    268,423.16x = 53,781,000,121.17
  5. Step 5: Solve for x
    x = 53,781,000,121.17/268,423.16
  6. Step 6: Final answer
    x = 200,359.02

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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.