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Finding the Fourth Proportional to 196,575, 271,273.68 and 107,151

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Solution

The fourth proportional to 196,575, 271,273.68 and 107,151 is: 147,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,575 : 271,273.68 = 107,151 : x
  2. Step 2: Convert to fraction form
    196,575/271,273.68 = 107,151/x
  3. Step 3: Cross multiply
    196,575x = 271,273.68 × 107,151
  4. Step 4: Simplify right side
    196,575x = 29,067,246,085.68
  5. Step 5: Solve for x
    x = 29,067,246,085.68/196,575
  6. Step 6: Final answer
    x = 147,868.48

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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.