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Finding the Fourth Proportional to 146,797.30, 220,204.32 and 41,608

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Solution

The fourth proportional to 146,797.30, 220,204.32 and 41,608 is: 62,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,797.30 : 220,204.32 = 41,608 : x
  2. Step 2: Convert to fraction form
    146,797.30/220,204.32 = 41,608/x
  3. Step 3: Cross multiply
    146,797.30x = 220,204.32 × 41,608
  4. Step 4: Simplify right side
    146,797.30x = 9,162,261,346.56
  5. Step 5: Solve for x
    x = 9,162,261,346.56/146,797.30
  6. Step 6: Final answer
    x = 62,414.37

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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.