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Finding the Fourth Proportional to 228,747.98, 343,144.79 and 84,692.26

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Solution

The fourth proportional to 228,747.98, 343,144.79 and 84,692.26 is: 127,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,747.98 : 343,144.79 = 84,692.26 : x
  2. Step 2: Convert to fraction form
    228,747.98/343,144.79 = 84,692.26/x
  3. Step 3: Cross multiply
    228,747.98x = 343,144.79 × 84,692.26
  4. Step 4: Simplify right side
    228,747.98x = 29,061,706,817.66
  5. Step 5: Solve for x
    x = 29,061,706,817.66/228,747.98
  6. Step 6: Final answer
    x = 127,046.83

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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.