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Finding the Fourth Proportional to 149,589.98, 206,419.82 and 82,517.66

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Solution

The fourth proportional to 149,589.98, 206,419.82 and 82,517.66 is: 113,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,589.98 : 206,419.82 = 82,517.66 : x
  2. Step 2: Convert to fraction form
    149,589.98/206,419.82 = 82,517.66/x
  3. Step 3: Cross multiply
    149,589.98x = 206,419.82 × 82,517.66
  4. Step 4: Simplify right side
    149,589.98x = 17,033,280,524.02
  5. Step 5: Solve for x
    x = 17,033,280,524.02/149,589.98
  6. Step 6: Final answer
    x = 113,866.45

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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.