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Finding the Fourth Proportional to 142,179.86, 196,206.62 and 78,516.38

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Solution

The fourth proportional to 142,179.86, 196,206.62 and 78,516.38 is: 108,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,179.86 : 196,206.62 = 78,516.38 : x
  2. Step 2: Convert to fraction form
    142,179.86/196,206.62 = 78,516.38/x
  3. Step 3: Cross multiply
    142,179.86x = 196,206.62 × 78,516.38
  4. Step 4: Simplify right side
    142,179.86x = 15,405,433,534.44
  5. Step 5: Solve for x
    x = 15,405,433,534.44/142,179.86
  6. Step 6: Final answer
    x = 108,351.73

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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.