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Finding the Fourth Proportional to 193,761.96, 290,648.46 and 53,520.60

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Solution

The fourth proportional to 193,761.96, 290,648.46 and 53,520.60 is: 80,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,761.96 : 290,648.46 = 53,520.60 : x
  2. Step 2: Convert to fraction form
    193,761.96/290,648.46 = 53,520.60/x
  3. Step 3: Cross multiply
    193,761.96x = 290,648.46 × 53,520.60
  4. Step 4: Simplify right side
    193,761.96x = 15,555,679,968.28
  5. Step 5: Solve for x
    x = 15,555,679,968.28/193,761.96
  6. Step 6: Final answer
    x = 80,282.42

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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.