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Finding the Fourth Proportional to 196,474, 271,134.12 and 107,050

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Solution

The fourth proportional to 196,474, 271,134.12 and 107,050 is: 147,729

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,474 : 271,134.12 = 107,050 : x
  2. Step 2: Convert to fraction form
    196,474/271,134.12 = 107,050/x
  3. Step 3: Cross multiply
    196,474x = 271,134.12 × 107,050
  4. Step 4: Simplify right side
    196,474x = 29,024,907,546
  5. Step 5: Solve for x
    x = 29,024,907,546/196,474
  6. Step 6: Final answer
    x = 147,729

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.