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Finding the Fourth Proportional to 167,398.56, 231,014 and 91,948.64

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Solution

The fourth proportional to 167,398.56, 231,014 and 91,948.64 is: 126,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,398.56 : 231,014 = 91,948.64 : x
  2. Step 2: Convert to fraction form
    167,398.56/231,014 = 91,948.64/x
  3. Step 3: Cross multiply
    167,398.56x = 231,014 × 91,948.64
  4. Step 4: Simplify right side
    167,398.56x = 21,241,423,120.96
  5. Step 5: Solve for x
    x = 21,241,423,120.96/167,398.56
  6. Step 6: Final answer
    x = 126,891.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.