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Finding the Fourth Proportional to 206,183.92, 309,188.40 and 73,097.68

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Solution

The fourth proportional to 206,183.92, 309,188.40 and 73,097.68 is: 109,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,183.92 : 309,188.40 = 73,097.68 : x
  2. Step 2: Convert to fraction form
    206,183.92/309,188.40 = 73,097.68/x
  3. Step 3: Cross multiply
    206,183.92x = 309,188.40 × 73,097.68
  4. Step 4: Simplify right side
    206,183.92x = 22,600,954,722.91
  5. Step 5: Solve for x
    x = 22,600,954,722.91/206,183.92
  6. Step 6: Final answer
    x = 109,615.51

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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.