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Finding the Fourth Proportional to 204,326.44, 281,967.78 and 114,902.44

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Solution

The fourth proportional to 204,326.44, 281,967.78 and 114,902.44 is: 158,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,326.44 : 281,967.78 = 114,902.44 : x
  2. Step 2: Convert to fraction form
    204,326.44/281,967.78 = 114,902.44/x
  3. Step 3: Cross multiply
    204,326.44x = 281,967.78 × 114,902.44
  4. Step 4: Simplify right side
    204,326.44x = 32,398,785,923.38
  5. Step 5: Solve for x
    x = 32,398,785,923.38/204,326.44
  6. Step 6: Final answer
    x = 158,563.84

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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.