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Finding the Fourth Proportional to 202,238.17, 303,361.94 and 52,484.36

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Solution

The fourth proportional to 202,238.17, 303,361.94 and 52,484.36 is: 78,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238.17 : 303,361.94 = 52,484.36 : x
  2. Step 2: Convert to fraction form
    202,238.17/303,361.94 = 52,484.36/x
  3. Step 3: Cross multiply
    202,238.17x = 303,361.94 × 52,484.36
  4. Step 4: Simplify right side
    202,238.17x = 15,921,755,883.66
  5. Step 5: Solve for x
    x = 15,921,755,883.66/202,238.17
  6. Step 6: Final answer
    x = 78,727.75

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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.