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Finding the Fourth Proportional to 204,198.98, 281,753.30 and 119,299.64

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Solution

The fourth proportional to 204,198.98, 281,753.30 and 119,299.64 is: 164,609.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,198.98 : 281,753.30 = 119,299.64 : x
  2. Step 2: Convert to fraction form
    204,198.98/281,753.30 = 119,299.64/x
  3. Step 3: Cross multiply
    204,198.98x = 281,753.30 × 119,299.64
  4. Step 4: Simplify right side
    204,198.98x = 33,613,067,258.81
  5. Step 5: Solve for x
    x = 33,613,067,258.81/204,198.98
  6. Step 6: Final answer
    x = 164,609.38

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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.