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Finding the Fourth Proportional to 135,109, 202,664.22 and 36,613

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Solution

The fourth proportional to 135,109, 202,664.22 and 36,613 is: 54,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,109 : 202,664.22 = 36,613 : x
  2. Step 2: Convert to fraction form
    135,109/202,664.22 = 36,613/x
  3. Step 3: Cross multiply
    135,109x = 202,664.22 × 36,613
  4. Step 4: Simplify right side
    135,109x = 7,420,145,086.86
  5. Step 5: Solve for x
    x = 7,420,145,086.86/135,109
  6. Step 6: Final answer
    x = 54,919.70

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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.