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Finding the Fourth Proportional to 206,515.70, 309,700.65 and 73,400.30

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Solution

The fourth proportional to 206,515.70, 309,700.65 and 73,400.30 is: 110,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,515.70 : 309,700.65 = 73,400.30 : x
  2. Step 2: Convert to fraction form
    206,515.70/309,700.65 = 73,400.30/x
  3. Step 3: Cross multiply
    206,515.70x = 309,700.65 × 73,400.30
  4. Step 4: Simplify right side
    206,515.70x = 22,732,120,620.20
  5. Step 5: Solve for x
    x = 22,732,120,620.20/206,515.70
  6. Step 6: Final answer
    x = 110,074.54

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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.