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Finding the Fourth Proportional to 199,019, 274,642.28 and 108,376.04

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Solution

The fourth proportional to 199,019, 274,642.28 and 108,376.04 is: 149,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,019 : 274,642.28 = 108,376.04 : x
  2. Step 2: Convert to fraction form
    199,019/274,642.28 = 108,376.04/x
  3. Step 3: Cross multiply
    199,019x = 274,642.28 × 108,376.04
  4. Step 4: Simplify right side
    199,019x = 29,764,642,722.97
  5. Step 5: Solve for x
    x = 29,764,642,722.97/199,019
  6. Step 6: Final answer
    x = 149,556.79

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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.