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Finding the Fourth Proportional to 234,097.35, 350,935.25 and 84,232.25

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Solution

The fourth proportional to 234,097.35, 350,935.25 and 84,232.25 is: 126,272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,097.35 : 350,935.25 = 84,232.25 : x
  2. Step 2: Convert to fraction form
    234,097.35/350,935.25 = 84,232.25/x
  3. Step 3: Cross multiply
    234,097.35x = 350,935.25 × 84,232.25
  4. Step 4: Simplify right side
    234,097.35x = 29,560,064,723.68
  5. Step 5: Solve for x
    x = 29,560,064,723.68/234,097.35
  6. Step 6: Final answer
    x = 126,272.53

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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.