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Finding the Fourth Proportional to 142,180.86, 196,208 and 78,517.38

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Solution

The fourth proportional to 142,180.86, 196,208 and 78,517.38 is: 108,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,180.86 : 196,208 = 78,517.38 : x
  2. Step 2: Convert to fraction form
    142,180.86/196,208 = 78,517.38/x
  3. Step 3: Cross multiply
    142,180.86x = 196,208 × 78,517.38
  4. Step 4: Simplify right side
    142,180.86x = 15,405,738,095.04
  5. Step 5: Solve for x
    x = 15,405,738,095.04/142,180.86
  6. Step 6: Final answer
    x = 108,353.11

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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.