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Finding the Fourth Proportional to 254,882.13, 381,798.24 and 149,446.86

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Solution

The fourth proportional to 254,882.13, 381,798.24 and 149,446.86 is: 223,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,882.13 : 381,798.24 = 149,446.86 : x
  2. Step 2: Convert to fraction form
    254,882.13/381,798.24 = 149,446.86/x
  3. Step 3: Cross multiply
    254,882.13x = 381,798.24 × 149,446.86
  4. Step 4: Simplify right side
    254,882.13x = 57,058,548,121.53
  5. Step 5: Solve for x
    x = 57,058,548,121.53/254,882.13
  6. Step 6: Final answer
    x = 223,862.49

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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.