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Finding the Fourth Proportional to 202,408.96, 303,612.80 and 54,664.96

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Solution

The fourth proportional to 202,408.96, 303,612.80 and 54,664.96 is: 81,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,408.96 : 303,612.80 = 54,664.96 : x
  2. Step 2: Convert to fraction form
    202,408.96/303,612.80 = 54,664.96/x
  3. Step 3: Cross multiply
    202,408.96x = 303,612.80 × 54,664.96
  4. Step 4: Simplify right side
    202,408.96x = 16,596,981,567.49
  5. Step 5: Solve for x
    x = 16,596,981,567.49/202,408.96
  6. Step 6: Final answer
    x = 81,997.27

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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.