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Finding the Fourth Proportional to 193,827.60, 290,854.20 and 81,499.60

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Solution

The fourth proportional to 193,827.60, 290,854.20 and 81,499.60 is: 122,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,827.60 : 290,854.20 = 81,499.60 : x
  2. Step 2: Convert to fraction form
    193,827.60/290,854.20 = 81,499.60/x
  3. Step 3: Cross multiply
    193,827.60x = 290,854.20 × 81,499.60
  4. Step 4: Simplify right side
    193,827.60x = 23,704,500,958.32
  5. Step 5: Solve for x
    x = 23,704,500,958.32/193,827.60
  6. Step 6: Final answer
    x = 122,296.83

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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.