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Finding the Fourth Proportional to 299,080.29, 448,489.20 and 111,960.57

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Solution

The fourth proportional to 299,080.29, 448,489.20 and 111,960.57 is: 167,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,080.29 : 448,489.20 = 111,960.57 : x
  2. Step 2: Convert to fraction form
    299,080.29/448,489.20 = 111,960.57/x
  3. Step 3: Cross multiply
    299,080.29x = 448,489.20 × 111,960.57
  4. Step 4: Simplify right side
    299,080.29x = 50,213,106,470.84
  5. Step 5: Solve for x
    x = 50,213,106,470.84/299,080.29
  6. Step 6: Final answer
    x = 167,891.73

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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.