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Finding the Fourth Proportional to 206,219.56, 309,355.50 and 73,073.80

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Solution

The fourth proportional to 206,219.56, 309,355.50 and 73,073.80 is: 109,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,219.56 : 309,355.50 = 73,073.80 : x
  2. Step 2: Convert to fraction form
    206,219.56/309,355.50 = 73,073.80/x
  3. Step 3: Cross multiply
    206,219.56x = 309,355.50 × 73,073.80
  4. Step 4: Simplify right side
    206,219.56x = 22,605,781,935.90
  5. Step 5: Solve for x
    x = 22,605,781,935.90/206,219.56
  6. Step 6: Final answer
    x = 109,619.97

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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.