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Finding the Fourth Proportional to 193,793.80, 290,690.70 and 182,120.20

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Solution

The fourth proportional to 193,793.80, 290,690.70 and 182,120.20 is: 273,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,793.80 : 290,690.70 = 182,120.20 : x
  2. Step 2: Convert to fraction form
    193,793.80/290,690.70 = 182,120.20/x
  3. Step 3: Cross multiply
    193,793.80x = 290,690.70 × 182,120.20
  4. Step 4: Simplify right side
    193,793.80x = 52,940,648,422.14
  5. Step 5: Solve for x
    x = 52,940,648,422.14/193,793.80
  6. Step 6: Final answer
    x = 273,180.30

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Why These Related Problems?

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