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Finding the Fourth Proportional to 206,085.56, 309,149.28 and 71,132.06

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Solution

The fourth proportional to 206,085.56, 309,149.28 and 71,132.06 is: 106,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,085.56 : 309,149.28 = 71,132.06 : x
  2. Step 2: Convert to fraction form
    206,085.56/309,149.28 = 71,132.06/x
  3. Step 3: Cross multiply
    206,085.56x = 309,149.28 × 71,132.06
  4. Step 4: Simplify right side
    206,085.56x = 21,990,425,133.92
  5. Step 5: Solve for x
    x = 21,990,425,133.92/206,085.56
  6. Step 6: Final answer
    x = 106,705.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.