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Finding the Fourth Proportional to 275,623.72, 413,361.56 and 75,896.56

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Solution

The fourth proportional to 275,623.72, 413,361.56 and 75,896.56 is: 113,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,623.72 : 413,361.56 = 75,896.56 : x
  2. Step 2: Convert to fraction form
    275,623.72/413,361.56 = 75,896.56/x
  3. Step 3: Cross multiply
    275,623.72x = 413,361.56 × 75,896.56
  4. Step 4: Simplify right side
    275,623.72x = 31,372,720,440.23
  5. Step 5: Solve for x
    x = 31,372,720,440.23/275,623.72
  6. Step 6: Final answer
    x = 113,824.46

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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.