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Finding the Fourth Proportional to 140,791.74, 211,187.90 and 34,175.26

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Solution

The fourth proportional to 140,791.74, 211,187.90 and 34,175.26 is: 51,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,791.74 : 211,187.90 = 34,175.26 : x
  2. Step 2: Convert to fraction form
    140,791.74/211,187.90 = 34,175.26/x
  3. Step 3: Cross multiply
    140,791.74x = 211,187.90 × 34,175.26
  4. Step 4: Simplify right side
    140,791.74x = 7,217,401,391.35
  5. Step 5: Solve for x
    x = 7,217,401,391.35/140,791.74
  6. Step 6: Final answer
    x = 51,262.96

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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.