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Finding the Fourth Proportional to 267,183.77, 400,801.97 and 77,645.79

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Solution

The fourth proportional to 267,183.77, 400,801.97 and 77,645.79 is: 116,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,183.77 : 400,801.97 = 77,645.79 : x
  2. Step 2: Convert to fraction form
    267,183.77/400,801.97 = 77,645.79/x
  3. Step 3: Cross multiply
    267,183.77x = 400,801.97 × 77,645.79
  4. Step 4: Simplify right side
    267,183.77x = 31,120,585,788.32
  5. Step 5: Solve for x
    x = 31,120,585,788.32/267,183.77
  6. Step 6: Final answer
    x = 116,476.34

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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.