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Finding the Fourth Proportional to 281,691.80, 422,565.30 and 82,014.20

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Solution

The fourth proportional to 281,691.80, 422,565.30 and 82,014.20 is: 123,029.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,691.80 : 422,565.30 = 82,014.20 : x
  2. Step 2: Convert to fraction form
    281,691.80/422,565.30 = 82,014.20/x
  3. Step 3: Cross multiply
    281,691.80x = 422,565.30 × 82,014.20
  4. Step 4: Simplify right side
    281,691.80x = 34,656,355,027.26
  5. Step 5: Solve for x
    x = 34,656,355,027.26/281,691.80
  6. Step 6: Final answer
    x = 123,029.34

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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.