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Finding the Fourth Proportional to 230,197.20, 345,227.76 and 103,764.48

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Solution

The fourth proportional to 230,197.20, 345,227.76 and 103,764.48 is: 155,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,197.20 : 345,227.76 = 103,764.48 : x
  2. Step 2: Convert to fraction form
    230,197.20/345,227.76 = 103,764.48/x
  3. Step 3: Cross multiply
    230,197.20x = 345,227.76 × 103,764.48
  4. Step 4: Simplify right side
    230,197.20x = 35,822,378,997.96
  5. Step 5: Solve for x
    x = 35,822,378,997.96/230,197.20
  6. Step 6: Final answer
    x = 155,616.05

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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.