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Finding the Fourth Proportional to 96,419.44, 132,965.36 and 75,190.96

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Solution

The fourth proportional to 96,419.44, 132,965.36 and 75,190.96 is: 103,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,419.44 : 132,965.36 = 75,190.96 : x
  2. Step 2: Convert to fraction form
    96,419.44/132,965.36 = 75,190.96/x
  3. Step 3: Cross multiply
    96,419.44x = 132,965.36 × 75,190.96
  4. Step 4: Simplify right side
    96,419.44x = 9,997,793,065.15
  5. Step 5: Solve for x
    x = 9,997,793,065.15/96,419.44
  6. Step 6: Final answer
    x = 103,690.64

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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.