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Finding the Fourth Proportional to 196,770.93, 271,542.63 and 111,888

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Solution

The fourth proportional to 196,770.93, 271,542.63 and 111,888 is: 154,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,770.93 : 271,542.63 = 111,888 : x
  2. Step 2: Convert to fraction form
    196,770.93/271,542.63 = 111,888/x
  3. Step 3: Cross multiply
    196,770.93x = 271,542.63 × 111,888
  4. Step 4: Simplify right side
    196,770.93x = 30,382,361,785.44
  5. Step 5: Solve for x
    x = 30,382,361,785.44/196,770.93
  6. Step 6: Final answer
    x = 154,404.73

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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.