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Finding the Fourth Proportional to 196,495.70, 270,949.50 and 132,722.78

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Solution

The fourth proportional to 196,495.70, 270,949.50 and 132,722.78 is: 183,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,495.70 : 270,949.50 = 132,722.78 : x
  2. Step 2: Convert to fraction form
    196,495.70/270,949.50 = 132,722.78/x
  3. Step 3: Cross multiply
    196,495.70x = 270,949.50 × 132,722.78
  4. Step 4: Simplify right side
    196,495.70x = 35,961,170,879.61
  5. Step 5: Solve for x
    x = 35,961,170,879.61/196,495.70
  6. Step 6: Final answer
    x = 183,012.51

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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.