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Finding the Fourth Proportional to 137,937.40, 206,906.10 and 49,193.80

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Solution

The fourth proportional to 137,937.40, 206,906.10 and 49,193.80 is: 73,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,937.40 : 206,906.10 = 49,193.80 : x
  2. Step 2: Convert to fraction form
    137,937.40/206,906.10 = 49,193.80/x
  3. Step 3: Cross multiply
    137,937.40x = 206,906.10 × 49,193.80
  4. Step 4: Simplify right side
    137,937.40x = 10,178,497,302.18
  5. Step 5: Solve for x
    x = 10,178,497,302.18/137,937.40
  6. Step 6: Final answer
    x = 73,790.70

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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.