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Finding the Fourth Proportional to 196,609.68, 271,321.20 and 107,185.68

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Solution

The fourth proportional to 196,609.68, 271,321.20 and 107,185.68 is: 147,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,609.68 : 271,321.20 = 107,185.68 : x
  2. Step 2: Convert to fraction form
    196,609.68/271,321.20 = 107,185.68/x
  3. Step 3: Cross multiply
    196,609.68x = 271,321.20 × 107,185.68
  4. Step 4: Simplify right side
    196,609.68x = 29,081,747,320.42
  5. Step 5: Solve for x
    x = 29,081,747,320.42/196,609.68
  6. Step 6: Final answer
    x = 147,916.15

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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.