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Finding the Fourth Proportional to 167,530.44, 251,057.10 and 83,207.97

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Solution

The fourth proportional to 167,530.44, 251,057.10 and 83,207.97 is: 124,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,530.44 : 251,057.10 = 83,207.97 : x
  2. Step 2: Convert to fraction form
    167,530.44/251,057.10 = 83,207.97/x
  3. Step 3: Cross multiply
    167,530.44x = 251,057.10 × 83,207.97
  4. Step 4: Simplify right side
    167,530.44x = 20,889,951,645.09
  5. Step 5: Solve for x
    x = 20,889,951,645.09/167,530.44
  6. Step 6: Final answer
    x = 124,693.47

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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.