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Finding the Fourth Proportional to 167,333.56, 230,921.10 and 91,882

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Solution

The fourth proportional to 167,333.56, 230,921.10 and 91,882 is: 126,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,333.56 : 230,921.10 = 91,882 : x
  2. Step 2: Convert to fraction form
    167,333.56/230,921.10 = 91,882/x
  3. Step 3: Cross multiply
    167,333.56x = 230,921.10 × 91,882
  4. Step 4: Simplify right side
    167,333.56x = 21,217,492,510.20
  5. Step 5: Solve for x
    x = 21,217,492,510.20/167,333.56
  6. Step 6: Final answer
    x = 126,797.59

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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.