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Finding the Fourth Proportional to 144,183.54, 198,971.19 and 80,522.22

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Solution

The fourth proportional to 144,183.54, 198,971.19 and 80,522.22 is: 111,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,183.54 : 198,971.19 = 80,522.22 : x
  2. Step 2: Convert to fraction form
    144,183.54/198,971.19 = 80,522.22/x
  3. Step 3: Cross multiply
    144,183.54x = 198,971.19 × 80,522.22
  4. Step 4: Simplify right side
    144,183.54x = 16,021,601,934.84
  5. Step 5: Solve for x
    x = 16,021,601,934.84/144,183.54
  6. Step 6: Final answer
    x = 111,119.49

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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.