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Finding the Fourth Proportional to 234,098.35, 350,936.75 and 84,233.25

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Solution

The fourth proportional to 234,098.35, 350,936.75 and 84,233.25 is: 126,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,098.35 : 350,936.75 = 84,233.25 : x
  2. Step 2: Convert to fraction form
    234,098.35/350,936.75 = 84,233.25/x
  3. Step 3: Cross multiply
    234,098.35x = 350,936.75 × 84,233.25
  4. Step 4: Simplify right side
    234,098.35x = 29,560,542,996.94
  5. Step 5: Solve for x
    x = 29,560,542,996.94/234,098.35
  6. Step 6: Final answer
    x = 126,274.03

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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.