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Finding the Fourth Proportional to 196,862.34, 294,850.34 and 137,960.96

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Solution

The fourth proportional to 196,862.34, 294,850.34 and 137,960.96 is: 206,630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,862.34 : 294,850.34 = 137,960.96 : x
  2. Step 2: Convert to fraction form
    196,862.34/294,850.34 = 137,960.96/x
  3. Step 3: Cross multiply
    196,862.34x = 294,850.34 × 137,960.96
  4. Step 4: Simplify right side
    196,862.34x = 40,677,836,010.05
  5. Step 5: Solve for x
    x = 40,677,836,010.05/196,862.34
  6. Step 6: Final answer
    x = 206,630.87

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Why These Related Problems?

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