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Finding the Fourth Proportional to 205,620.80, 283,726.68 and 120,765.20

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Solution

The fourth proportional to 205,620.80, 283,726.68 and 120,765.20 is: 166,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,620.80 : 283,726.68 = 120,765.20 : x
  2. Step 2: Convert to fraction form
    205,620.80/283,726.68 = 120,765.20/x
  3. Step 3: Cross multiply
    205,620.80x = 283,726.68 × 120,765.20
  4. Step 4: Simplify right side
    205,620.80x = 34,264,309,255.54
  5. Step 5: Solve for x
    x = 34,264,309,255.54/205,620.80
  6. Step 6: Final answer
    x = 166,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.