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Finding the Fourth Proportional to 192,218.08, 288,123 and 113,369.44

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Solution

The fourth proportional to 192,218.08, 288,123 and 113,369.44 is: 169,933.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,218.08 : 288,123 = 113,369.44 : x
  2. Step 2: Convert to fraction form
    192,218.08/288,123 = 113,369.44/x
  3. Step 3: Cross multiply
    192,218.08x = 288,123 × 113,369.44
  4. Step 4: Simplify right side
    192,218.08x = 32,664,343,161.12
  5. Step 5: Solve for x
    x = 32,664,343,161.12/192,218.08
  6. Step 6: Final answer
    x = 169,933.77

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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.