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Finding the Fourth Proportional to 202,534.13, 303,593.82 and 84,274.13

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Solution

The fourth proportional to 202,534.13, 303,593.82 and 84,274.13 is: 126,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,534.13 : 303,593.82 = 84,274.13 : x
  2. Step 2: Convert to fraction form
    202,534.13/303,593.82 = 84,274.13/x
  3. Step 3: Cross multiply
    202,534.13x = 303,593.82 × 84,274.13
  4. Step 4: Simplify right side
    202,534.13x = 25,585,103,535.91
  5. Step 5: Solve for x
    x = 25,585,103,535.91/202,534.13
  6. Step 6: Final answer
    x = 126,324.90

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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.