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Finding the Fourth Proportional to 202,455.93, 303,420.49 and 82,372.93

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Solution

The fourth proportional to 202,455.93, 303,420.49 and 82,372.93 is: 123,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,455.93 : 303,420.49 = 82,372.93 : x
  2. Step 2: Convert to fraction form
    202,455.93/303,420.49 = 82,372.93/x
  3. Step 3: Cross multiply
    202,455.93x = 303,420.49 × 82,372.93
  4. Step 4: Simplify right side
    202,455.93x = 24,993,633,818.85
  5. Step 5: Solve for x
    x = 24,993,633,818.85/202,455.93
  6. Step 6: Final answer
    x = 123,452.22

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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.