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Finding the Fourth Proportional to 96,201.20, 144,447.60 and 74,039.60

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Solution

The fourth proportional to 96,201.20, 144,447.60 and 74,039.60 is: 111,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,201.20 : 144,447.60 = 74,039.60 : x
  2. Step 2: Convert to fraction form
    96,201.20/144,447.60 = 74,039.60/x
  3. Step 3: Cross multiply
    96,201.20x = 144,447.60 × 74,039.60
  4. Step 4: Simplify right side
    96,201.20x = 10,694,842,524.96
  5. Step 5: Solve for x
    x = 10,694,842,524.96/96,201.20
  6. Step 6: Final answer
    x = 111,171.61

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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.