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Finding the Fourth Proportional to 202,756.80, 303,697.80 and 167,764.80

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Solution

The fourth proportional to 202,756.80, 303,697.80 and 167,764.80 is: 251,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,756.80 : 303,697.80 = 167,764.80 : x
  2. Step 2: Convert to fraction form
    202,756.80/303,697.80 = 167,764.80/x
  3. Step 3: Cross multiply
    202,756.80x = 303,697.80 × 167,764.80
  4. Step 4: Simplify right side
    202,756.80x = 50,949,800,677.44
  5. Step 5: Solve for x
    x = 50,949,800,677.44/202,756.80
  6. Step 6: Final answer
    x = 251,285.29

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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.