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Finding the Fourth Proportional to 204,101.97, 281,798.15 and 182,524.78

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Solution

The fourth proportional to 204,101.97, 281,798.15 and 182,524.78 is: 252,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,101.97 : 281,798.15 = 182,524.78 : x
  2. Step 2: Convert to fraction form
    204,101.97/281,798.15 = 182,524.78/x
  3. Step 3: Cross multiply
    204,101.97x = 281,798.15 × 182,524.78
  4. Step 4: Simplify right side
    204,101.97x = 51,435,145,333.16
  5. Step 5: Solve for x
    x = 51,435,145,333.16/204,101.97
  6. Step 6: Final answer
    x = 252,007.10

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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.