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Finding the Fourth Proportional to 196,375.50, 270,998.20 and 106,951.50

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Solution

The fourth proportional to 196,375.50, 270,998.20 and 106,951.50 is: 147,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,375.50 : 270,998.20 = 106,951.50 : x
  2. Step 2: Convert to fraction form
    196,375.50/270,998.20 = 106,951.50/x
  3. Step 3: Cross multiply
    196,375.50x = 270,998.20 × 106,951.50
  4. Step 4: Simplify right side
    196,375.50x = 28,983,663,987.30
  5. Step 5: Solve for x
    x = 28,983,663,987.30/196,375.50
  6. Step 6: Final answer
    x = 147,593.08

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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.