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Finding the Fourth Proportional to 202,082.54, 303,175.29 and 59,933.00

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Solution

The fourth proportional to 202,082.54, 303,175.29 and 59,933.00 is: 89,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082.54 : 303,175.29 = 59,933.00 : x
  2. Step 2: Convert to fraction form
    202,082.54/303,175.29 = 59,933.00/x
  3. Step 3: Cross multiply
    202,082.54x = 303,175.29 × 59,933.00
  4. Step 4: Simplify right side
    202,082.54x = 18,170,203,139.69
  5. Step 5: Solve for x
    x = 18,170,203,139.69/202,082.54
  6. Step 6: Final answer
    x = 89,914.76

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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.