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Finding the Fourth Proportional to 204,393.29, 282,060.55 and 113,747.73

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Solution

The fourth proportional to 204,393.29, 282,060.55 and 113,747.73 is: 156,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,393.29 : 282,060.55 = 113,747.73 : x
  2. Step 2: Convert to fraction form
    204,393.29/282,060.55 = 113,747.73/x
  3. Step 3: Cross multiply
    204,393.29x = 282,060.55 × 113,747.73
  4. Step 4: Simplify right side
    204,393.29x = 32,083,745,729.68
  5. Step 5: Solve for x
    x = 32,083,745,729.68/204,393.29
  6. Step 6: Final answer
    x = 156,970.64

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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.