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Finding the Fourth Proportional to 281,708.49, 422,563.50 and 82,033.77

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Solution

The fourth proportional to 281,708.49, 422,563.50 and 82,033.77 is: 123,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,708.49 : 422,563.50 = 82,033.77 : x
  2. Step 2: Convert to fraction form
    281,708.49/422,563.50 = 82,033.77/x
  3. Step 3: Cross multiply
    281,708.49x = 422,563.50 × 82,033.77
  4. Step 4: Simplify right side
    281,708.49x = 34,664,478,554.01
  5. Step 5: Solve for x
    x = 34,664,478,554.01/281,708.49
  6. Step 6: Final answer
    x = 123,050.88

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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.