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Finding the Fourth Proportional to 204,201.88, 281,757.30 and 119,302.54

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Solution

The fourth proportional to 204,201.88, 281,757.30 and 119,302.54 is: 164,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,201.88 : 281,757.30 = 119,302.54 : x
  2. Step 2: Convert to fraction form
    204,201.88/281,757.30 = 119,302.54/x
  3. Step 3: Cross multiply
    204,201.88x = 281,757.30 × 119,302.54
  4. Step 4: Simplify right side
    204,201.88x = 33,614,361,553.54
  5. Step 5: Solve for x
    x = 33,614,361,553.54/204,201.88
  6. Step 6: Final answer
    x = 164,613.38

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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.