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Finding the Fourth Proportional to 202,433.75, 303,443.26 and 84,173.75

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Solution

The fourth proportional to 202,433.75, 303,443.26 and 84,173.75 is: 126,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,433.75 : 303,443.26 = 84,173.75 : x
  2. Step 2: Convert to fraction form
    202,433.75/303,443.26 = 84,173.75/x
  3. Step 3: Cross multiply
    202,433.75x = 303,443.26 × 84,173.75
  4. Step 4: Simplify right side
    202,433.75x = 25,541,957,106.43
  5. Step 5: Solve for x
    x = 25,541,957,106.43/202,433.75
  6. Step 6: Final answer
    x = 126,174.40

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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.