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Finding the Fourth Proportional to 281,690.80, 422,563.80 and 82,013.20

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Solution

The fourth proportional to 281,690.80, 422,563.80 and 82,013.20 is: 123,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,690.80 : 422,563.80 = 82,013.20 : x
  2. Step 2: Convert to fraction form
    281,690.80/422,563.80 = 82,013.20/x
  3. Step 3: Cross multiply
    281,690.80x = 422,563.80 × 82,013.20
  4. Step 4: Simplify right side
    281,690.80x = 34,655,809,442.16
  5. Step 5: Solve for x
    x = 34,655,809,442.16/281,690.80
  6. Step 6: Final answer
    x = 123,027.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.