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Finding the Fourth Proportional to 193,550.96, 290,213.42 and 75,083.86

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Solution

The fourth proportional to 193,550.96, 290,213.42 and 75,083.86 is: 112,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,550.96 : 290,213.42 = 75,083.86 : x
  2. Step 2: Convert to fraction form
    193,550.96/290,213.42 = 75,083.86/x
  3. Step 3: Cross multiply
    193,550.96x = 290,213.42 × 75,083.86
  4. Step 4: Simplify right side
    193,550.96x = 21,790,343,797.40
  5. Step 5: Solve for x
    x = 21,790,343,797.40/193,550.96
  6. Step 6: Final answer
    x = 112,581.95

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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.