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Finding the Fourth Proportional to 203,526.44, 305,227.46 and 140,750

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Solution

The fourth proportional to 203,526.44, 305,227.46 and 140,750 is: 211,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,526.44 : 305,227.46 = 140,750 : x
  2. Step 2: Convert to fraction form
    203,526.44/305,227.46 = 140,750/x
  3. Step 3: Cross multiply
    203,526.44x = 305,227.46 × 140,750
  4. Step 4: Simplify right side
    203,526.44x = 42,960,764,995
  5. Step 5: Solve for x
    x = 42,960,764,995/203,526.44
  6. Step 6: Final answer
    x = 211,081.99

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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.