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Finding the Fourth Proportional to 96,229.65, 144,367.95 and 67,821.96

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Solution

The fourth proportional to 96,229.65, 144,367.95 and 67,821.96 is: 101,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,229.65 : 144,367.95 = 67,821.96 : x
  2. Step 2: Convert to fraction form
    96,229.65/144,367.95 = 67,821.96/x
  3. Step 3: Cross multiply
    96,229.65x = 144,367.95 × 67,821.96
  4. Step 4: Simplify right side
    96,229.65x = 9,791,317,330.18
  5. Step 5: Solve for x
    x = 9,791,317,330.18/96,229.65
  6. Step 6: Final answer
    x = 101,749.49

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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.