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Finding the Fourth Proportional to 214,086.75, 295,306.05 and 137,705.37

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Solution

The fourth proportional to 214,086.75, 295,306.05 and 137,705.37 is: 189,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,086.75 : 295,306.05 = 137,705.37 : x
  2. Step 2: Convert to fraction form
    214,086.75/295,306.05 = 137,705.37/x
  3. Step 3: Cross multiply
    214,086.75x = 295,306.05 × 137,705.37
  4. Step 4: Simplify right side
    214,086.75x = 40,665,228,878.49
  5. Step 5: Solve for x
    x = 40,665,228,878.49/214,086.75
  6. Step 6: Final answer
    x = 189,947.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.