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Finding the Fourth Proportional to 206,337.22, 309,403.69 and 73,197.52

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Solution

The fourth proportional to 206,337.22, 309,403.69 and 73,197.52 is: 109,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,337.22 : 309,403.69 = 73,197.52 : x
  2. Step 2: Convert to fraction form
    206,337.22/309,403.69 = 73,197.52/x
  3. Step 3: Cross multiply
    206,337.22x = 309,403.69 × 73,197.52
  4. Step 4: Simplify right side
    206,337.22x = 22,647,582,786.85
  5. Step 5: Solve for x
    x = 22,647,582,786.85/206,337.22
  6. Step 6: Final answer
    x = 109,760.05

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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.