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Finding the Fourth Proportional to 199,470.79, 275,269.41 and 108,826.82

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Solution

The fourth proportional to 199,470.79, 275,269.41 and 108,826.82 is: 150,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,470.79 : 275,269.41 = 108,826.82 : x
  2. Step 2: Convert to fraction form
    199,470.79/275,269.41 = 108,826.82/x
  3. Step 3: Cross multiply
    199,470.79x = 275,269.41 × 108,826.82
  4. Step 4: Simplify right side
    199,470.79x = 29,956,693,157.23
  5. Step 5: Solve for x
    x = 29,956,693,157.23/199,470.79
  6. Step 6: Final answer
    x = 150,180.85

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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.