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Finding the Fourth Proportional to 196,429, 271,072.02 and 107,005

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Solution

The fourth proportional to 196,429, 271,072.02 and 107,005 is: 147,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,429 : 271,072.02 = 107,005 : x
  2. Step 2: Convert to fraction form
    196,429/271,072.02 = 107,005/x
  3. Step 3: Cross multiply
    196,429x = 271,072.02 × 107,005
  4. Step 4: Simplify right side
    196,429x = 29,006,061,500.10
  5. Step 5: Solve for x
    x = 29,006,061,500.10/196,429
  6. Step 6: Final answer
    x = 147,666.90

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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.