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Finding the Fourth Proportional to 206,207.92, 309,224.40 and 73,121.68

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Solution

The fourth proportional to 206,207.92, 309,224.40 and 73,121.68 is: 109,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,207.92 : 309,224.40 = 73,121.68 : x
  2. Step 2: Convert to fraction form
    206,207.92/309,224.40 = 73,121.68/x
  3. Step 3: Cross multiply
    206,207.92x = 309,224.40 × 73,121.68
  4. Step 4: Simplify right side
    206,207.92x = 22,611,007,624.99
  5. Step 5: Solve for x
    x = 22,611,007,624.99/206,207.92
  6. Step 6: Final answer
    x = 109,651.50

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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.