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Finding the Fourth Proportional to 268,992.80, 403,546.80 and 82,023.20

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Solution

The fourth proportional to 268,992.80, 403,546.80 and 82,023.20 is: 123,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,992.80 : 403,546.80 = 82,023.20 : x
  2. Step 2: Convert to fraction form
    268,992.80/403,546.80 = 82,023.20/x
  3. Step 3: Cross multiply
    268,992.80x = 403,546.80 × 82,023.20
  4. Step 4: Simplify right side
    268,992.80x = 33,100,199,885.76
  5. Step 5: Solve for x
    x = 33,100,199,885.76/268,992.80
  6. Step 6: Final answer
    x = 123,052.36

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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.