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Finding the Fourth Proportional to 273,874.80, 411,234.60 and 149,458.80

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Solution

The fourth proportional to 273,874.80, 411,234.60 and 149,458.80 is: 224,418.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,874.80 : 411,234.60 = 149,458.80 : x
  2. Step 2: Convert to fraction form
    273,874.80/411,234.60 = 149,458.80/x
  3. Step 3: Cross multiply
    273,874.80x = 411,234.60 × 149,458.80
  4. Step 4: Simplify right side
    273,874.80x = 61,462,629,834.48
  5. Step 5: Solve for x
    x = 61,462,629,834.48/273,874.80
  6. Step 6: Final answer
    x = 224,418.71

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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.