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Finding the Fourth Proportional to 263,114.95, 394,697.34 and 73,575.31

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Solution

The fourth proportional to 263,114.95, 394,697.34 and 73,575.31 is: 110,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,114.95 : 394,697.34 = 73,575.31 : x
  2. Step 2: Convert to fraction form
    263,114.95/394,697.34 = 73,575.31/x
  3. Step 3: Cross multiply
    263,114.95x = 394,697.34 × 73,575.31
  4. Step 4: Simplify right side
    263,114.95x = 29,039,979,146.68
  5. Step 5: Solve for x
    x = 29,039,979,146.68/263,114.95
  6. Step 6: Final answer
    x = 110,369.93

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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.