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Finding the Fourth Proportional to 144,224.38, 198,900.36 and 120,105.20

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Solution

The fourth proportional to 144,224.38, 198,900.36 and 120,105.20 is: 165,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,224.38 : 198,900.36 = 120,105.20 : x
  2. Step 2: Convert to fraction form
    144,224.38/198,900.36 = 120,105.20/x
  3. Step 3: Cross multiply
    144,224.38x = 198,900.36 × 120,105.20
  4. Step 4: Simplify right side
    144,224.38x = 23,888,967,517.87
  5. Step 5: Solve for x
    x = 23,888,967,517.87/144,224.38
  6. Step 6: Final answer
    x = 165,637.51

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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.