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Finding the Fourth Proportional to 192,717, 288,954 and 92,902.32

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Solution

The fourth proportional to 192,717, 288,954 and 92,902.32 is: 139,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,717 : 288,954 = 92,902.32 : x
  2. Step 2: Convert to fraction form
    192,717/288,954 = 92,902.32/x
  3. Step 3: Cross multiply
    192,717x = 288,954 × 92,902.32
  4. Step 4: Simplify right side
    192,717x = 26,844,496,973.28
  5. Step 5: Solve for x
    x = 26,844,496,973.28/192,717
  6. Step 6: Final answer
    x = 139,294.91

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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.