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Finding the Fourth Proportional to 149,805, 206,744.04 and 82,749.96

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Solution

The fourth proportional to 149,805, 206,744.04 and 82,749.96 is: 114,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,805 : 206,744.04 = 82,749.96 : x
  2. Step 2: Convert to fraction form
    149,805/206,744.04 = 82,749.96/x
  3. Step 3: Cross multiply
    149,805x = 206,744.04 × 82,749.96
  4. Step 4: Simplify right side
    149,805x = 17,108,061,040.24
  5. Step 5: Solve for x
    x = 17,108,061,040.24/149,805
  6. Step 6: Final answer
    x = 114,202.20

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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.