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Finding the Fourth Proportional to 203,882.28, 281,375.22 and 119,026.68

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Solution

The fourth proportional to 203,882.28, 281,375.22 and 119,026.68 is: 164,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,882.28 : 281,375.22 = 119,026.68 : x
  2. Step 2: Convert to fraction form
    203,882.28/281,375.22 = 119,026.68/x
  3. Step 3: Cross multiply
    203,882.28x = 281,375.22 × 119,026.68
  4. Step 4: Simplify right side
    203,882.28x = 33,491,158,270.87
  5. Step 5: Solve for x
    x = 33,491,158,270.87/203,882.28
  6. Step 6: Final answer
    x = 164,267.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.