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Finding the Fourth Proportional to 204,314.70, 281,956.86 and 112,444.56

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Solution

The fourth proportional to 204,314.70, 281,956.86 and 112,444.56 is: 155,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,314.70 : 281,956.86 = 112,444.56 : x
  2. Step 2: Convert to fraction form
    204,314.70/281,956.86 = 112,444.56/x
  3. Step 3: Cross multiply
    204,314.70x = 281,956.86 × 112,444.56
  4. Step 4: Simplify right side
    204,314.70x = 31,704,515,061.68
  5. Step 5: Solve for x
    x = 31,704,515,061.68/204,314.70
  6. Step 6: Final answer
    x = 155,174.91

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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.