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Finding the Fourth Proportional to 202,540.30, 303,817.74 and 76,168.96

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Solution

The fourth proportional to 202,540.30, 303,817.74 and 76,168.96 is: 114,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,540.30 : 303,817.74 = 76,168.96 : x
  2. Step 2: Convert to fraction form
    202,540.30/303,817.74 = 76,168.96/x
  3. Step 3: Cross multiply
    202,540.30x = 303,817.74 × 76,168.96
  4. Step 4: Simplify right side
    202,540.30x = 23,141,481,285.35
  5. Step 5: Solve for x
    x = 23,141,481,285.35/202,540.30
  6. Step 6: Final answer
    x = 114,256.18

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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.