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Finding the Fourth Proportional to 192,228, 288,403.68 and 92,395.44

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Solution

The fourth proportional to 192,228, 288,403.68 and 92,395.44 is: 138,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,228 : 288,403.68 = 92,395.44 : x
  2. Step 2: Convert to fraction form
    192,228/288,403.68 = 92,395.44/x
  3. Step 3: Cross multiply
    192,228x = 288,403.68 × 92,395.44
  4. Step 4: Simplify right side
    192,228x = 26,647,184,911.22
  5. Step 5: Solve for x
    x = 26,647,184,911.22/192,228
  6. Step 6: Final answer
    x = 138,622.81

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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.