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Finding the Fourth Proportional to 231,142.92, 317,752.32 and 198,758.76

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Solution

The fourth proportional to 231,142.92, 317,752.32 and 198,758.76 is: 273,233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,142.92 : 317,752.32 = 198,758.76 : x
  2. Step 2: Convert to fraction form
    231,142.92/317,752.32 = 198,758.76/x
  3. Step 3: Cross multiply
    231,142.92x = 317,752.32 × 198,758.76
  4. Step 4: Simplify right side
    231,142.92x = 63,156,057,110.32
  5. Step 5: Solve for x
    x = 63,156,057,110.32/231,142.92
  6. Step 6: Final answer
    x = 273,233.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.