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Finding the Fourth Proportional to 202,296.96, 303,478.29 and 75,947.13

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Solution

The fourth proportional to 202,296.96, 303,478.29 and 75,947.13 is: 113,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,296.96 : 303,478.29 = 75,947.13 : x
  2. Step 2: Convert to fraction form
    202,296.96/303,478.29 = 75,947.13/x
  3. Step 3: Cross multiply
    202,296.96x = 303,478.29 × 75,947.13
  4. Step 4: Simplify right side
    202,296.96x = 23,048,305,142.81
  5. Step 5: Solve for x
    x = 23,048,305,142.81/202,296.96
  6. Step 6: Final answer
    x = 113,933.03

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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.