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Finding the Fourth Proportional to 146,906.20, 220,359.30 and 36,098.20

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Solution

The fourth proportional to 146,906.20, 220,359.30 and 36,098.20 is: 54,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,906.20 : 220,359.30 = 36,098.20 : x
  2. Step 2: Convert to fraction form
    146,906.20/220,359.30 = 36,098.20/x
  3. Step 3: Cross multiply
    146,906.20x = 220,359.30 × 36,098.20
  4. Step 4: Simplify right side
    146,906.20x = 7,954,574,083.26
  5. Step 5: Solve for x
    x = 7,954,574,083.26/146,906.20
  6. Step 6: Final answer
    x = 54,147.30

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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.