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Finding the Fourth Proportional to 231,716.28, 319,912.92 and 177,894.12

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Solution

The fourth proportional to 231,716.28, 319,912.92 and 177,894.12 is: 245,604.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716.28 : 319,912.92 = 177,894.12 : x
  2. Step 2: Convert to fraction form
    231,716.28/319,912.92 = 177,894.12/x
  3. Step 3: Cross multiply
    231,716.28x = 319,912.92 × 177,894.12
  4. Step 4: Simplify right side
    231,716.28x = 56,910,627,380.03
  5. Step 5: Solve for x
    x = 56,910,627,380.03/231,716.28
  6. Step 6: Final answer
    x = 245,604.79

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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.