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Finding the Fourth Proportional to 142,183.86, 196,212.15 and 78,520.38

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Solution

The fourth proportional to 142,183.86, 196,212.15 and 78,520.38 is: 108,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,183.86 : 196,212.15 = 78,520.38 : x
  2. Step 2: Convert to fraction form
    142,183.86/196,212.15 = 78,520.38/x
  3. Step 3: Cross multiply
    142,183.86x = 196,212.15 × 78,520.38
  4. Step 4: Simplify right side
    142,183.86x = 15,406,652,578.62
  5. Step 5: Solve for x
    x = 15,406,652,578.62/142,183.86
  6. Step 6: Final answer
    x = 108,357.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.