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Finding the Fourth Proportional to 206,185.92, 309,191.40 and 73,099.68

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Solution

The fourth proportional to 206,185.92, 309,191.40 and 73,099.68 is: 109,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,185.92 : 309,191.40 = 73,099.68 : x
  2. Step 2: Convert to fraction form
    206,185.92/309,191.40 = 73,099.68/x
  3. Step 3: Cross multiply
    206,185.92x = 309,191.40 × 73,099.68
  4. Step 4: Simplify right side
    206,185.92x = 22,601,792,398.75
  5. Step 5: Solve for x
    x = 22,601,792,398.75/206,185.92
  6. Step 6: Final answer
    x = 109,618.51

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1.5x scale

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.