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Finding the Fourth Proportional to 258,344.33, 387,383.69 and 116,067.68

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Solution

The fourth proportional to 258,344.33, 387,383.69 and 116,067.68 is: 174,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,344.33 : 387,383.69 = 116,067.68 : x
  2. Step 2: Convert to fraction form
    258,344.33/387,383.69 = 116,067.68/x
  3. Step 3: Cross multiply
    258,344.33x = 387,383.69 × 116,067.68
  4. Step 4: Simplify right side
    258,344.33x = 44,962,723,650.88
  5. Step 5: Solve for x
    x = 44,962,723,650.88/258,344.33
  6. Step 6: Final answer
    x = 174,041.85

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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.