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Finding the Fourth Proportional to 202,424.57, 303,679.67 and 76,065.92

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Solution

The fourth proportional to 202,424.57, 303,679.67 and 76,065.92 is: 114,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,424.57 : 303,679.67 = 76,065.92 : x
  2. Step 2: Convert to fraction form
    202,424.57/303,679.67 = 76,065.92/x
  3. Step 3: Cross multiply
    202,424.57x = 303,679.67 × 76,065.92
  4. Step 4: Simplify right side
    202,424.57x = 23,099,672,723.92
  5. Step 5: Solve for x
    x = 23,099,672,723.92/202,424.57
  6. Step 6: Final answer
    x = 114,114.97

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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.