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Finding the Fourth Proportional to 202,165.20, 303,247.80 and 123,433.20

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Solution

The fourth proportional to 202,165.20, 303,247.80 and 123,433.20 is: 185,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.20 : 303,247.80 = 123,433.20 : x
  2. Step 2: Convert to fraction form
    202,165.20/303,247.80 = 123,433.20/x
  3. Step 3: Cross multiply
    202,165.20x = 303,247.80 × 123,433.20
  4. Step 4: Simplify right side
    202,165.20x = 37,430,846,346.96
  5. Step 5: Solve for x
    x = 37,430,846,346.96/202,165.20
  6. Step 6: Final answer
    x = 185,149.80

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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.