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Finding the Fourth Proportional to 199,214.86, 274,908.48 and 108,568.90

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Solution

The fourth proportional to 199,214.86, 274,908.48 and 108,568.90 is: 149,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,214.86 : 274,908.48 = 108,568.90 : x
  2. Step 2: Convert to fraction form
    199,214.86/274,908.48 = 108,568.90/x
  3. Step 3: Cross multiply
    199,214.86x = 274,908.48 × 108,568.90
  4. Step 4: Simplify right side
    199,214.86x = 29,846,511,274.27
  5. Step 5: Solve for x
    x = 29,846,511,274.27/199,214.86
  6. Step 6: Final answer
    x = 149,820.71

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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.