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Finding the Fourth Proportional to 196,338.26, 270,940.74 and 115,770.80

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Solution

The fourth proportional to 196,338.26, 270,940.74 and 115,770.80 is: 159,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,338.26 : 270,940.74 = 115,770.80 : x
  2. Step 2: Convert to fraction form
    196,338.26/270,940.74 = 115,770.80/x
  3. Step 3: Cross multiply
    196,338.26x = 270,940.74 × 115,770.80
  4. Step 4: Simplify right side
    196,338.26x = 31,367,026,222.39
  5. Step 5: Solve for x
    x = 31,367,026,222.39/196,338.26
  6. Step 6: Final answer
    x = 159,760.13

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