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Finding the Fourth Proportional to 259,738.20, 389,619.45 and 82,259.10

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Solution

The fourth proportional to 259,738.20, 389,619.45 and 82,259.10 is: 123,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,738.20 : 389,619.45 = 82,259.10 : x
  2. Step 2: Convert to fraction form
    259,738.20/389,619.45 = 82,259.10/x
  3. Step 3: Cross multiply
    259,738.20x = 389,619.45 × 82,259.10
  4. Step 4: Simplify right side
    259,738.20x = 32,049,745,299.50
  5. Step 5: Solve for x
    x = 32,049,745,299.50/259,738.20
  6. Step 6: Final answer
    x = 123,392.50

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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.