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Finding the Fourth Proportional to 146,959.20, 220,496.40 and 53,474.40

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Solution

The fourth proportional to 146,959.20, 220,496.40 and 53,474.40 is: 80,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,959.20 : 220,496.40 = 53,474.40 : x
  2. Step 2: Convert to fraction form
    146,959.20/220,496.40 = 53,474.40/x
  3. Step 3: Cross multiply
    146,959.20x = 220,496.40 × 53,474.40
  4. Step 4: Simplify right side
    146,959.20x = 11,790,912,692.16
  5. Step 5: Solve for x
    x = 11,790,912,692.16/146,959.20
  6. Step 6: Final answer
    x = 80,232.56

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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.