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Finding the Fourth Proportional to 137,876.53, 206,834.24 and 49,103.77

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Solution

The fourth proportional to 137,876.53, 206,834.24 and 49,103.77 is: 73,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,876.53 : 206,834.24 = 49,103.77 : x
  2. Step 2: Convert to fraction form
    137,876.53/206,834.24 = 49,103.77/x
  3. Step 3: Cross multiply
    137,876.53x = 206,834.24 × 49,103.77
  4. Step 4: Simplify right side
    137,876.53x = 10,156,340,949.08
  5. Step 5: Solve for x
    x = 10,156,340,949.08/137,876.53
  6. Step 6: Final answer
    x = 73,662.58

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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.