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Finding the Fourth Proportional to 192,249.98, 288,308.18 and 106,990.94

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Solution

The fourth proportional to 192,249.98, 288,308.18 and 106,990.94 is: 160,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,249.98 : 288,308.18 = 106,990.94 : x
  2. Step 2: Convert to fraction form
    192,249.98/288,308.18 = 106,990.94/x
  3. Step 3: Cross multiply
    192,249.98x = 288,308.18 × 106,990.94
  4. Step 4: Simplify right side
    192,249.98x = 30,846,363,187.89
  5. Step 5: Solve for x
    x = 30,846,363,187.89/192,249.98
  6. Step 6: Final answer
    x = 160,449.24

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1.5x scale

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.