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Finding the Fourth Proportional to 203,744.02, 305,546.80 and 70,593.20

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Solution

The fourth proportional to 203,744.02, 305,546.80 and 70,593.20 is: 105,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,744.02 : 305,546.80 = 70,593.20 : x
  2. Step 2: Convert to fraction form
    203,744.02/305,546.80 = 70,593.20/x
  3. Step 3: Cross multiply
    203,744.02x = 305,546.80 × 70,593.20
  4. Step 4: Simplify right side
    203,744.02x = 21,569,526,361.76
  5. Step 5: Solve for x
    x = 21,569,526,361.76/203,744.02
  6. Step 6: Final answer
    x = 105,865.81

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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.