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Finding the Fourth Proportional to 204,327.88, 281,947.96 and 113,660.96

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Solution

The fourth proportional to 204,327.88, 281,947.96 and 113,660.96 is: 156,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,327.88 : 281,947.96 = 113,660.96 : x
  2. Step 2: Convert to fraction form
    204,327.88/281,947.96 = 113,660.96/x
  3. Step 3: Cross multiply
    204,327.88x = 281,947.96 × 113,660.96
  4. Step 4: Simplify right side
    204,327.88x = 32,046,475,803.64
  5. Step 5: Solve for x
    x = 32,046,475,803.64/204,327.88
  6. Step 6: Final answer
    x = 156,838.49

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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.