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Finding the Fourth Proportional to 206,596.44, 309,792.24 and 73,456.68

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Solution

The fourth proportional to 206,596.44, 309,792.24 and 73,456.68 is: 110,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.44 : 309,792.24 = 73,456.68 : x
  2. Step 2: Convert to fraction form
    206,596.44/309,792.24 = 73,456.68/x
  3. Step 3: Cross multiply
    206,596.44x = 309,792.24 × 73,456.68
  4. Step 4: Simplify right side
    206,596.44x = 22,756,309,440.16
  5. Step 5: Solve for x
    x = 22,756,309,440.16/206,596.44
  6. Step 6: Final answer
    x = 110,148.60

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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.