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Finding the Fourth Proportional to 193,257.60, 290,500.80 and 182,198.40

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Solution

The fourth proportional to 193,257.60, 290,500.80 and 182,198.40 is: 273,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,257.60 : 290,500.80 = 182,198.40 : x
  2. Step 2: Convert to fraction form
    193,257.60/290,500.80 = 182,198.40/x
  3. Step 3: Cross multiply
    193,257.60x = 290,500.80 × 182,198.40
  4. Step 4: Simplify right side
    193,257.60x = 52,928,780,958.72
  5. Step 5: Solve for x
    x = 52,928,780,958.72/193,257.60
  6. Step 6: Final answer
    x = 273,876.84

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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.