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Finding the Fourth Proportional to 204,073.38, 281,578.05 and 123,485.22

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Solution

The fourth proportional to 204,073.38, 281,578.05 and 123,485.22 is: 170,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073.38 : 281,578.05 = 123,485.22 : x
  2. Step 2: Convert to fraction form
    204,073.38/281,578.05 = 123,485.22/x
  3. Step 3: Cross multiply
    204,073.38x = 281,578.05 × 123,485.22
  4. Step 4: Simplify right side
    204,073.38x = 34,770,727,451.42
  5. Step 5: Solve for x
    x = 34,770,727,451.42/204,073.38
  6. Step 6: Final answer
    x = 170,383.45

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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.