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Finding the Fourth Proportional to 204,601.92, 282,349.86 and 113,958.96

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Solution

The fourth proportional to 204,601.92, 282,349.86 and 113,958.96 is: 157,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,601.92 : 282,349.86 = 113,958.96 : x
  2. Step 2: Convert to fraction form
    204,601.92/282,349.86 = 113,958.96/x
  3. Step 3: Cross multiply
    204,601.92x = 282,349.86 × 113,958.96
  4. Step 4: Simplify right side
    204,601.92x = 32,176,296,401.75
  5. Step 5: Solve for x
    x = 32,176,296,401.75/204,601.92
  6. Step 6: Final answer
    x = 157,262.93

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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.