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Finding the Fourth Proportional to 203,794.40, 305,691.60 and 182,021.60

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Solution

The fourth proportional to 203,794.40, 305,691.60 and 182,021.60 is: 273,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,794.40 : 305,691.60 = 182,021.60 : x
  2. Step 2: Convert to fraction form
    203,794.40/305,691.60 = 182,021.60/x
  3. Step 3: Cross multiply
    203,794.40x = 305,691.60 × 182,021.60
  4. Step 4: Simplify right side
    203,794.40x = 55,642,474,138.56
  5. Step 5: Solve for x
    x = 55,642,474,138.56/203,794.40
  6. Step 6: Final answer
    x = 273,032.40

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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.