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Finding the Fourth Proportional to 202,563.25, 303,859.65 and 69,442.38

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Solution

The fourth proportional to 202,563.25, 303,859.65 and 69,442.38 is: 104,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,563.25 : 303,859.65 = 69,442.38 : x
  2. Step 2: Convert to fraction form
    202,563.25/303,859.65 = 69,442.38/x
  3. Step 3: Cross multiply
    202,563.25x = 303,859.65 × 69,442.38
  4. Step 4: Simplify right side
    202,563.25x = 21,100,737,542.38
  5. Step 5: Solve for x
    x = 21,100,737,542.38/202,563.25
  6. Step 6: Final answer
    x = 104,168.64

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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.