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Finding the Fourth Proportional to 265,183.82, 397,714.97 and 75,640.58

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Solution

The fourth proportional to 265,183.82, 397,714.97 and 75,640.58 is: 113,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,183.82 : 397,714.97 = 75,640.58 : x
  2. Step 2: Convert to fraction form
    265,183.82/397,714.97 = 75,640.58/x
  3. Step 3: Cross multiply
    265,183.82x = 397,714.97 × 75,640.58
  4. Step 4: Simplify right side
    265,183.82x = 30,083,389,206.01
  5. Step 5: Solve for x
    x = 30,083,389,206.01/265,183.82
  6. Step 6: Final answer
    x = 113,443.53

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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.