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Finding the Fourth Proportional to 234,640.98, 322,605.54 and 208,902.42

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Solution

The fourth proportional to 234,640.98, 322,605.54 and 208,902.42 is: 287,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,640.98 : 322,605.54 = 208,902.42 : x
  2. Step 2: Convert to fraction form
    234,640.98/322,605.54 = 208,902.42/x
  3. Step 3: Cross multiply
    234,640.98x = 322,605.54 × 208,902.42
  4. Step 4: Simplify right side
    234,640.98x = 67,393,078,011.41
  5. Step 5: Solve for x
    x = 67,393,078,011.41/234,640.98
  6. Step 6: Final answer
    x = 287,217.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.