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Finding the Fourth Proportional to 144,169.78, 216,115.80 and 96,797.84

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Solution

The fourth proportional to 144,169.78, 216,115.80 and 96,797.84 is: 145,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,169.78 : 216,115.80 = 96,797.84 : x
  2. Step 2: Convert to fraction form
    144,169.78/216,115.80 = 96,797.84/x
  3. Step 3: Cross multiply
    144,169.78x = 216,115.80 × 96,797.84
  4. Step 4: Simplify right side
    144,169.78x = 20,919,542,629.87
  5. Step 5: Solve for x
    x = 20,919,542,629.87/144,169.78
  6. Step 6: Final answer
    x = 145,103.52

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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.