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Finding the Fourth Proportional to 126,563.40, 189,845.10 and 82,240.20

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Solution

The fourth proportional to 126,563.40, 189,845.10 and 82,240.20 is: 123,360.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,563.40 : 189,845.10 = 82,240.20 : x
  2. Step 2: Convert to fraction form
    126,563.40/189,845.10 = 82,240.20/x
  3. Step 3: Cross multiply
    126,563.40x = 189,845.10 × 82,240.20
  4. Step 4: Simplify right side
    126,563.40x = 15,612,898,993.02
  5. Step 5: Solve for x
    x = 15,612,898,993.02/126,563.40
  6. Step 6: Final answer
    x = 123,360.30

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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.