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Finding the Fourth Proportional to 196,863.09, 294,851.46 and 137,961.71

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Solution

The fourth proportional to 196,863.09, 294,851.46 and 137,961.71 is: 206,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863.09 : 294,851.46 = 137,961.71 : x
  2. Step 2: Convert to fraction form
    196,863.09/294,851.46 = 137,961.71/x
  3. Step 3: Cross multiply
    196,863.09x = 294,851.46 × 137,961.71
  4. Step 4: Simplify right side
    196,863.09x = 40,678,212,354.73
  5. Step 5: Solve for x
    x = 40,678,212,354.73/196,863.09
  6. Step 6: Final answer
    x = 206,631.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.