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Finding the Fourth Proportional to 196,815.68, 271,597.80 and 116,269.10

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Solution

The fourth proportional to 196,815.68, 271,597.80 and 116,269.10 is: 160,446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,815.68 : 271,597.80 = 116,269.10 : x
  2. Step 2: Convert to fraction form
    196,815.68/271,597.80 = 116,269.10/x
  3. Step 3: Cross multiply
    196,815.68x = 271,597.80 × 116,269.10
  4. Step 4: Simplify right side
    196,815.68x = 31,578,431,767.98
  5. Step 5: Solve for x
    x = 31,578,431,767.98/196,815.68
  6. Step 6: Final answer
    x = 160,446.73

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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.