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Finding the Fourth Proportional to 167,082, 230,573.28 and 91,630.80

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Solution

The fourth proportional to 167,082, 230,573.28 and 91,630.80 is: 126,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,082 : 230,573.28 = 91,630.80 : x
  2. Step 2: Convert to fraction form
    167,082/230,573.28 = 91,630.80/x
  3. Step 3: Cross multiply
    167,082x = 230,573.28 × 91,630.80
  4. Step 4: Simplify right side
    167,082x = 21,127,614,105.02
  5. Step 5: Solve for x
    x = 21,127,614,105.02/167,082
  6. Step 6: Final answer
    x = 126,450.57

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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.