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Finding the Fourth Proportional to 149,542.26, 206,362.62 and 82,474.26

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Solution

The fourth proportional to 149,542.26, 206,362.62 and 82,474.26 is: 113,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,542.26 : 206,362.62 = 82,474.26 : x
  2. Step 2: Convert to fraction form
    149,542.26/206,362.62 = 82,474.26/x
  3. Step 3: Cross multiply
    149,542.26x = 206,362.62 × 82,474.26
  4. Step 4: Simplify right side
    149,542.26x = 17,019,604,376.16
  5. Step 5: Solve for x
    x = 17,019,604,376.16/149,542.26
  6. Step 6: Final answer
    x = 113,811.34

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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.