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Finding the Fourth Proportional to 196,576, 271,275 and 107,152

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Solution

The fourth proportional to 196,576, 271,275 and 107,152 is: 147,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,576 : 271,275 = 107,152 : x
  2. Step 2: Convert to fraction form
    196,576/271,275 = 107,152/x
  3. Step 3: Cross multiply
    196,576x = 271,275 × 107,152
  4. Step 4: Simplify right side
    196,576x = 29,067,658,800
  5. Step 5: Solve for x
    x = 29,067,658,800/196,576
  6. Step 6: Final answer
    x = 147,869.83

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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.