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Finding the Fourth Proportional to 204,601.72, 282,350.28 and 119,734.96

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Solution

The fourth proportional to 204,601.72, 282,350.28 and 119,734.96 is: 165,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,601.72 : 282,350.28 = 119,734.96 : x
  2. Step 2: Convert to fraction form
    204,601.72/282,350.28 = 119,734.96/x
  3. Step 3: Cross multiply
    204,601.72x = 282,350.28 × 119,734.96
  4. Step 4: Simplify right side
    204,601.72x = 33,807,199,481.79
  5. Step 5: Solve for x
    x = 33,807,199,481.79/204,601.72
  6. Step 6: Final answer
    x = 165,234.19

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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.