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Finding the Fourth Proportional to 274,076.96, 411,142.80 and 74,400.56

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Solution

The fourth proportional to 274,076.96, 411,142.80 and 74,400.56 is: 111,608.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,076.96 : 411,142.80 = 74,400.56 : x
  2. Step 2: Convert to fraction form
    274,076.96/411,142.80 = 74,400.56/x
  3. Step 3: Cross multiply
    274,076.96x = 411,142.80 × 74,400.56
  4. Step 4: Simplify right side
    274,076.96x = 30,589,254,559.97
  5. Step 5: Solve for x
    x = 30,589,254,559.97/274,076.96
  6. Step 6: Final answer
    x = 111,608.27

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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.