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Finding the Fourth Proportional to 148,540.80, 222,712.80 and 82,012.80

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Solution

The fourth proportional to 148,540.80, 222,712.80 and 82,012.80 is: 122,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,540.80 : 222,712.80 = 82,012.80 : x
  2. Step 2: Convert to fraction form
    148,540.80/222,712.80 = 82,012.80/x
  3. Step 3: Cross multiply
    148,540.80x = 222,712.80 × 82,012.80
  4. Step 4: Simplify right side
    148,540.80x = 18,265,300,323.84
  5. Step 5: Solve for x
    x = 18,265,300,323.84/148,540.80
  6. Step 6: Final answer
    x = 122,964.87

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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.