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Finding the Fourth Proportional to 259,474.20, 389,223.45 and 81,995.10

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Solution

The fourth proportional to 259,474.20, 389,223.45 and 81,995.10 is: 122,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,474.20 : 389,223.45 = 81,995.10 : x
  2. Step 2: Convert to fraction form
    259,474.20/389,223.45 = 81,995.10/x
  3. Step 3: Cross multiply
    259,474.20x = 389,223.45 × 81,995.10
  4. Step 4: Simplify right side
    259,474.20x = 31,914,415,705.10
  5. Step 5: Solve for x
    x = 31,914,415,705.10/259,474.20
  6. Step 6: Final answer
    x = 122,996.49

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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.