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Finding the Fourth Proportional to 147,311.75, 203,290.22 and 80,243.75

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Solution

The fourth proportional to 147,311.75, 203,290.22 and 80,243.75 is: 110,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,311.75 : 203,290.22 = 80,243.75 : x
  2. Step 2: Convert to fraction form
    147,311.75/203,290.22 = 80,243.75/x
  3. Step 3: Cross multiply
    147,311.75x = 203,290.22 × 80,243.75
  4. Step 4: Simplify right side
    147,311.75x = 16,312,769,591.13
  5. Step 5: Solve for x
    x = 16,312,769,591.13/147,311.75
  6. Step 6: Final answer
    x = 110,736.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.