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Finding the Fourth Proportional to 198,757.67, 274,292.33 and 113,891.13

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Solution

The fourth proportional to 198,757.67, 274,292.33 and 113,891.13 is: 157,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,757.67 : 274,292.33 = 113,891.13 : x
  2. Step 2: Convert to fraction form
    198,757.67/274,292.33 = 113,891.13/x
  3. Step 3: Cross multiply
    198,757.67x = 274,292.33 × 113,891.13
  4. Step 4: Simplify right side
    198,757.67x = 31,239,462,844.58
  5. Step 5: Solve for x
    x = 31,239,462,844.58/198,757.67
  6. Step 6: Final answer
    x = 157,173.63

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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.