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Finding the Fourth Proportional to 95,862.58, 132,222 and 83,092.96

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Solution

The fourth proportional to 95,862.58, 132,222 and 83,092.96 is: 114,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,862.58 : 132,222 = 83,092.96 : x
  2. Step 2: Convert to fraction form
    95,862.58/132,222 = 83,092.96/x
  3. Step 3: Cross multiply
    95,862.58x = 132,222 × 83,092.96
  4. Step 4: Simplify right side
    95,862.58x = 10,986,717,357.12
  5. Step 5: Solve for x
    x = 10,986,717,357.12/95,862.58
  6. Step 6: Final answer
    x = 114,609.03

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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.