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Finding the Fourth Proportional to 293,791.26, 440,633.84 and 133,830.04

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Solution

The fourth proportional to 293,791.26, 440,633.84 and 133,830.04 is: 200,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,791.26 : 440,633.84 = 133,830.04 : x
  2. Step 2: Convert to fraction form
    293,791.26/440,633.84 = 133,830.04/x
  3. Step 3: Cross multiply
    293,791.26x = 440,633.84 × 133,830.04
  4. Step 4: Simplify right side
    293,791.26x = 58,970,044,432.55
  5. Step 5: Solve for x
    x = 58,970,044,432.55/293,791.26
  6. Step 6: Final answer
    x = 200,720.89

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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.