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Finding the Fourth Proportional to 202,583.96, 303,876.17 and 52,824.12

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Solution

The fourth proportional to 202,583.96, 303,876.17 and 52,824.12 is: 79,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,583.96 : 303,876.17 = 52,824.12 : x
  2. Step 2: Convert to fraction form
    202,583.96/303,876.17 = 52,824.12/x
  3. Step 3: Cross multiply
    202,583.96x = 303,876.17 × 52,824.12
  4. Step 4: Simplify right side
    202,583.96x = 16,051,991,269.22
  5. Step 5: Solve for x
    x = 16,051,991,269.22/202,583.96
  6. Step 6: Final answer
    x = 79,236.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.