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Finding the Fourth Proportional to 262,074.26, 393,046.46 and 112,297.56

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Solution

The fourth proportional to 262,074.26, 393,046.46 and 112,297.56 is: 168,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,074.26 : 393,046.46 = 112,297.56 : x
  2. Step 2: Convert to fraction form
    262,074.26/393,046.46 = 112,297.56/x
  3. Step 3: Cross multiply
    262,074.26x = 393,046.46 × 112,297.56
  4. Step 4: Simplify right side
    262,074.26x = 44,138,160,600.43
  5. Step 5: Solve for x
    x = 44,138,160,600.43/262,074.26
  6. Step 6: Final answer
    x = 168,418.53

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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.