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Finding the Fourth Proportional to 206,375.75, 309,594.39 and 73,244.86

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Solution

The fourth proportional to 206,375.75, 309,594.39 and 73,244.86 is: 109,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.75 : 309,594.39 = 73,244.86 : x
  2. Step 2: Convert to fraction form
    206,375.75/309,594.39 = 73,244.86/x
  3. Step 3: Cross multiply
    206,375.75x = 309,594.39 × 73,244.86
  4. Step 4: Simplify right side
    206,375.75x = 22,676,196,703.68
  5. Step 5: Solve for x
    x = 22,676,196,703.68/206,375.75
  6. Step 6: Final answer
    x = 109,878.20

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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.