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Finding the Fourth Proportional to 196,745.76, 271,481.76 and 111,853.44

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Solution

The fourth proportional to 196,745.76, 271,481.76 and 111,853.44 is: 154,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,745.76 : 271,481.76 = 111,853.44 : x
  2. Step 2: Convert to fraction form
    196,745.76/271,481.76 = 111,853.44/x
  3. Step 3: Cross multiply
    196,745.76x = 271,481.76 × 111,853.44
  4. Step 4: Simplify right side
    196,745.76x = 30,366,168,753.25
  5. Step 5: Solve for x
    x = 30,366,168,753.25/196,745.76
  6. Step 6: Final answer
    x = 154,342.18

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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.