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Finding the Fourth Proportional to 168,162, 231,932.28 and 107,738.25

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Solution

The fourth proportional to 168,162, 231,932.28 and 107,738.25 is: 148,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,162 : 231,932.28 = 107,738.25 : x
  2. Step 2: Convert to fraction form
    168,162/231,932.28 = 107,738.25/x
  3. Step 3: Cross multiply
    168,162x = 231,932.28 × 107,738.25
  4. Step 4: Simplify right side
    168,162x = 24,987,977,965.71
  5. Step 5: Solve for x
    x = 24,987,977,965.71/168,162
  6. Step 6: Final answer
    x = 148,594.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.