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Finding the Fourth Proportional to 196,992, 271,848.96 and 107,568

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Solution

The fourth proportional to 196,992, 271,848.96 and 107,568 is: 148,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,992 : 271,848.96 = 107,568 : x
  2. Step 2: Convert to fraction form
    196,992/271,848.96 = 107,568/x
  3. Step 3: Cross multiply
    196,992x = 271,848.96 × 107,568
  4. Step 4: Simplify right side
    196,992x = 29,242,248,929.28
  5. Step 5: Solve for x
    x = 29,242,248,929.28/196,992
  6. Step 6: Final answer
    x = 148,443.84

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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.