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Finding the Fourth Proportional to 202,652.24, 303,932.13 and 76,305.80

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Solution

The fourth proportional to 202,652.24, 303,932.13 and 76,305.80 is: 114,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,652.24 : 303,932.13 = 76,305.80 : x
  2. Step 2: Convert to fraction form
    202,652.24/303,932.13 = 76,305.80/x
  3. Step 3: Cross multiply
    202,652.24x = 303,932.13 × 76,305.80
  4. Step 4: Simplify right side
    202,652.24x = 23,191,784,325.35
  5. Step 5: Solve for x
    x = 23,191,784,325.35/202,652.24
  6. Step 6: Final answer
    x = 114,441.29

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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.