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Finding the Fourth Proportional to 146,836.20, 220,311.90 and 53,351.40

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Solution

The fourth proportional to 146,836.20, 220,311.90 and 53,351.40 is: 80,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,836.20 : 220,311.90 = 53,351.40 : x
  2. Step 2: Convert to fraction form
    146,836.20/220,311.90 = 53,351.40/x
  3. Step 3: Cross multiply
    146,836.20x = 220,311.90 × 53,351.40
  4. Step 4: Simplify right side
    146,836.20x = 11,753,948,301.66
  5. Step 5: Solve for x
    x = 11,753,948,301.66/146,836.20
  6. Step 6: Final answer
    x = 80,048.03

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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.