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Finding the Fourth Proportional to 200,049.80, 300,074.70 and 185,469.80

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Solution

The fourth proportional to 200,049.80, 300,074.70 and 185,469.80 is: 278,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,049.80 : 300,074.70 = 185,469.80 : x
  2. Step 2: Convert to fraction form
    200,049.80/300,074.70 = 185,469.80/x
  3. Step 3: Cross multiply
    200,049.80x = 300,074.70 × 185,469.80
  4. Step 4: Simplify right side
    200,049.80x = 55,654,794,594.06
  5. Step 5: Solve for x
    x = 55,654,794,594.06/200,049.80
  6. Step 6: Final answer
    x = 278,204.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.