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Finding the Fourth Proportional to 203,472.04, 305,105.94 and 96,824.20

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Solution

The fourth proportional to 203,472.04, 305,105.94 and 96,824.20 is: 145,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472.04 : 305,105.94 = 96,824.20 : x
  2. Step 2: Convert to fraction form
    203,472.04/305,105.94 = 96,824.20/x
  3. Step 3: Cross multiply
    203,472.04x = 305,105.94 × 96,824.20
  4. Step 4: Simplify right side
    203,472.04x = 29,541,638,555.75
  5. Step 5: Solve for x
    x = 29,541,638,555.75/203,472.04
  6. Step 6: Final answer
    x = 145,187.71

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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.