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Finding the Fourth Proportional to 137,327.84, 205,939.92 and 63,404

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Solution

The fourth proportional to 137,327.84, 205,939.92 and 63,404 is: 95,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,327.84 : 205,939.92 = 63,404 : x
  2. Step 2: Convert to fraction form
    137,327.84/205,939.92 = 63,404/x
  3. Step 3: Cross multiply
    137,327.84x = 205,939.92 × 63,404
  4. Step 4: Simplify right side
    137,327.84x = 13,057,414,687.68
  5. Step 5: Solve for x
    x = 13,057,414,687.68/137,327.84
  6. Step 6: Final answer
    x = 95,082.07

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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.