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Finding the Fourth Proportional to 224,613.97, 309,855.38 and 133,906.03

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Solution

The fourth proportional to 224,613.97, 309,855.38 and 133,906.03 is: 184,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,613.97 : 309,855.38 = 133,906.03 : x
  2. Step 2: Convert to fraction form
    224,613.97/309,855.38 = 133,906.03/x
  3. Step 3: Cross multiply
    224,613.97x = 309,855.38 × 133,906.03
  4. Step 4: Simplify right side
    224,613.97x = 41,491,502,365.77
  5. Step 5: Solve for x
    x = 41,491,502,365.77/224,613.97
  6. Step 6: Final answer
    x = 184,723.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.