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Finding the Fourth Proportional to 204,323.31, 281,960.78 and 113,679.45

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Solution

The fourth proportional to 204,323.31, 281,960.78 and 113,679.45 is: 156,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,323.31 : 281,960.78 = 113,679.45 : x
  2. Step 2: Convert to fraction form
    204,323.31/281,960.78 = 113,679.45/x
  3. Step 3: Cross multiply
    204,323.31x = 281,960.78 × 113,679.45
  4. Step 4: Simplify right side
    204,323.31x = 32,053,145,266.37
  5. Step 5: Solve for x
    x = 32,053,145,266.37/204,323.31
  6. Step 6: Final answer
    x = 156,874.64

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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.