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Finding the Fourth Proportional to 202,635, 303,952.50 and 54,891

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Solution

The fourth proportional to 202,635, 303,952.50 and 54,891 is: 82,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,635 : 303,952.50 = 54,891 : x
  2. Step 2: Convert to fraction form
    202,635/303,952.50 = 54,891/x
  3. Step 3: Cross multiply
    202,635x = 303,952.50 × 54,891
  4. Step 4: Simplify right side
    202,635x = 16,684,256,677.50
  5. Step 5: Solve for x
    x = 16,684,256,677.50/202,635
  6. Step 6: Final answer
    x = 82,336.50

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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.