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Finding the Fourth Proportional to 206,375.33, 309,593.75 and 73,244.44

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Solution

The fourth proportional to 206,375.33, 309,593.75 and 73,244.44 is: 109,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.33 : 309,593.75 = 73,244.44 : x
  2. Step 2: Convert to fraction form
    206,375.33/309,593.75 = 73,244.44/x
  3. Step 3: Cross multiply
    206,375.33x = 309,593.75 × 73,244.44
  4. Step 4: Simplify right side
    206,375.33x = 22,676,020,867.02
  5. Step 5: Solve for x
    x = 22,676,020,867.02/206,375.33
  6. Step 6: Final answer
    x = 109,877.57

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Why These Related Problems?

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