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Finding the Fourth Proportional to 196,468.44, 271,126.45 and 107,044.44

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Solution

The fourth proportional to 196,468.44, 271,126.45 and 107,044.44 is: 147,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,468.44 : 271,126.45 = 107,044.44 : x
  2. Step 2: Convert to fraction form
    196,468.44/271,126.45 = 107,044.44/x
  3. Step 3: Cross multiply
    196,468.44x = 271,126.45 × 107,044.44
  4. Step 4: Simplify right side
    196,468.44x = 29,022,579,009.44
  5. Step 5: Solve for x
    x = 29,022,579,009.44/196,468.44
  6. Step 6: Final answer
    x = 147,721.33

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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.