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Finding the Fourth Proportional to 198,758.67, 274,293.71 and 113,892.13

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Solution

The fourth proportional to 198,758.67, 274,293.71 and 113,892.13 is: 157,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,758.67 : 274,293.71 = 113,892.13 : x
  2. Step 2: Convert to fraction form
    198,758.67/274,293.71 = 113,892.13/x
  3. Step 3: Cross multiply
    198,758.67x = 274,293.71 × 113,892.13
  4. Step 4: Simplify right side
    198,758.67x = 31,239,894,308.04
  5. Step 5: Solve for x
    x = 31,239,894,308.04/198,758.67
  6. Step 6: Final answer
    x = 157,175.01

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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.