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Finding the Fourth Proportional to 144,005.23, 198,736.77 and 80,344.38

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Solution

The fourth proportional to 144,005.23, 198,736.77 and 80,344.38 is: 110,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005.23 : 198,736.77 = 80,344.38 : x
  2. Step 2: Convert to fraction form
    144,005.23/198,736.77 = 80,344.38/x
  3. Step 3: Cross multiply
    144,005.23x = 198,736.77 × 80,344.38
  4. Step 4: Simplify right side
    144,005.23x = 15,967,382,568.85
  5. Step 5: Solve for x
    x = 15,967,382,568.85/144,005.23
  6. Step 6: Final answer
    x = 110,880.57

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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.