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Finding the Fourth Proportional to 199,793.66, 275,710.64 and 109,150

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Solution

The fourth proportional to 199,793.66, 275,710.64 and 109,150 is: 150,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,793.66 : 275,710.64 = 109,150 : x
  2. Step 2: Convert to fraction form
    199,793.66/275,710.64 = 109,150/x
  3. Step 3: Cross multiply
    199,793.66x = 275,710.64 × 109,150
  4. Step 4: Simplify right side
    199,793.66x = 30,093,816,356
  5. Step 5: Solve for x
    x = 30,093,816,356/199,793.66
  6. Step 6: Final answer
    x = 150,624.48

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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.