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Finding the Fourth Proportional to 96,543.72, 144,869.94 and 75,424.56

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Solution

The fourth proportional to 96,543.72, 144,869.94 and 75,424.56 is: 113,179.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,543.72 : 144,869.94 = 75,424.56 : x
  2. Step 2: Convert to fraction form
    96,543.72/144,869.94 = 75,424.56/x
  3. Step 3: Cross multiply
    96,543.72x = 144,869.94 × 75,424.56
  4. Step 4: Simplify right side
    96,543.72x = 10,926,751,481.73
  5. Step 5: Solve for x
    x = 10,926,751,481.73/96,543.72
  6. Step 6: Final answer
    x = 113,179.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.