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Finding the Fourth Proportional to 267,324.28, 401,006.10 and 89,830

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Solution

The fourth proportional to 267,324.28, 401,006.10 and 89,830 is: 134,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,324.28 : 401,006.10 = 89,830 : x
  2. Step 2: Convert to fraction form
    267,324.28/401,006.10 = 89,830/x
  3. Step 3: Cross multiply
    267,324.28x = 401,006.10 × 89,830
  4. Step 4: Simplify right side
    267,324.28x = 36,022,377,963
  5. Step 5: Solve for x
    x = 36,022,377,963/267,324.28
  6. Step 6: Final answer
    x = 134,751.61

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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.