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Finding the Fourth Proportional to 210,524.28, 290,717.48 and 135,204

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Solution

The fourth proportional to 210,524.28, 290,717.48 and 135,204 is: 186,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,524.28 : 290,717.48 = 135,204 : x
  2. Step 2: Convert to fraction form
    210,524.28/290,717.48 = 135,204/x
  3. Step 3: Cross multiply
    210,524.28x = 290,717.48 × 135,204
  4. Step 4: Simplify right side
    210,524.28x = 39,306,166,165.92
  5. Step 5: Solve for x
    x = 39,306,166,165.92/210,524.28
  6. Step 6: Final answer
    x = 186,706.09

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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.