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Finding the Fourth Proportional to 206,320.32, 309,378.42 and 73,180.62

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Solution

The fourth proportional to 206,320.32, 309,378.42 and 73,180.62 is: 109,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,320.32 : 309,378.42 = 73,180.62 : x
  2. Step 2: Convert to fraction form
    206,320.32/309,378.42 = 73,180.62/x
  3. Step 3: Cross multiply
    206,320.32x = 309,378.42 × 73,180.62
  4. Step 4: Simplify right side
    206,320.32x = 22,640,504,590.22
  5. Step 5: Solve for x
    x = 22,640,504,590.22/206,320.32
  6. Step 6: Final answer
    x = 109,734.73

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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.