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Finding the Fourth Proportional to 146,726.80, 220,163.10 and 57,983.20

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Solution

The fourth proportional to 146,726.80, 220,163.10 and 57,983.20 is: 87,003.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,726.80 : 220,163.10 = 57,983.20 : x
  2. Step 2: Convert to fraction form
    146,726.80/220,163.10 = 57,983.20/x
  3. Step 3: Cross multiply
    146,726.80x = 220,163.10 × 57,983.20
  4. Step 4: Simplify right side
    146,726.80x = 12,765,761,059.92
  5. Step 5: Solve for x
    x = 12,765,761,059.92/146,726.80
  6. Step 6: Final answer
    x = 87,003.61

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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.