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Finding the Fourth Proportional to 119,778.44, 179,372.41 and 75,294.86

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Solution

The fourth proportional to 119,778.44, 179,372.41 and 75,294.86 is: 112,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,778.44 : 179,372.41 = 75,294.86 : x
  2. Step 2: Convert to fraction form
    119,778.44/179,372.41 = 75,294.86/x
  3. Step 3: Cross multiply
    119,778.44x = 179,372.41 × 75,294.86
  4. Step 4: Simplify right side
    119,778.44x = 13,505,819,413.71
  5. Step 5: Solve for x
    x = 13,505,819,413.71/119,778.44
  6. Step 6: Final answer
    x = 112,756.69

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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.