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Finding the Fourth Proportional to 234,705.89, 323,755.37 and 149,822.95

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Solution

The fourth proportional to 234,705.89, 323,755.37 and 149,822.95 is: 206,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,705.89 : 323,755.37 = 149,822.95 : x
  2. Step 2: Convert to fraction form
    234,705.89/323,755.37 = 149,822.95/x
  3. Step 3: Cross multiply
    234,705.89x = 323,755.37 × 149,822.95
  4. Step 4: Simplify right side
    234,705.89x = 48,505,984,611.74
  5. Step 5: Solve for x
    x = 48,505,984,611.74/234,705.89
  6. Step 6: Final answer
    x = 206,667.10

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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.