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Finding the Fourth Proportional to 198,691.94, 274,202.09 and 113,825.41

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Solution

The fourth proportional to 198,691.94, 274,202.09 and 113,825.41 is: 157,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,691.94 : 274,202.09 = 113,825.41 : x
  2. Step 2: Convert to fraction form
    198,691.94/274,202.09 = 113,825.41/x
  3. Step 3: Cross multiply
    198,691.94x = 274,202.09 × 113,825.41
  4. Step 4: Simplify right side
    198,691.94x = 31,211,165,317.11
  5. Step 5: Solve for x
    x = 31,211,165,317.11/198,691.94
  6. Step 6: Final answer
    x = 157,083.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.