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Finding the Fourth Proportional to 299,074.29, 448,480.20 and 111,954.57

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Solution

The fourth proportional to 299,074.29, 448,480.20 and 111,954.57 is: 167,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,074.29 : 448,480.20 = 111,954.57 : x
  2. Step 2: Convert to fraction form
    299,074.29/448,480.20 = 111,954.57/x
  3. Step 3: Cross multiply
    299,074.29x = 448,480.20 × 111,954.57
  4. Step 4: Simplify right side
    299,074.29x = 50,209,407,944.51
  5. Step 5: Solve for x
    x = 50,209,407,944.51/299,074.29
  6. Step 6: Final answer
    x = 167,882.73

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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.