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Finding the Fourth Proportional to 149,554, 206,388.84 and 82,490.32

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Solution

The fourth proportional to 149,554, 206,388.84 and 82,490.32 is: 113,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,554 : 206,388.84 = 82,490.32 : x
  2. Step 2: Convert to fraction form
    149,554/206,388.84 = 82,490.32/x
  3. Step 3: Cross multiply
    149,554x = 206,388.84 × 82,490.32
  4. Step 4: Simplify right side
    149,554x = 17,025,081,456.03
  5. Step 5: Solve for x
    x = 17,025,081,456.03/149,554
  6. Step 6: Final answer
    x = 113,839.02

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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.