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Finding the Fourth Proportional to 192,122, 288,184.62 and 67,463

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Solution

The fourth proportional to 192,122, 288,184.62 and 67,463 is: 101,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,122 : 288,184.62 = 67,463 : x
  2. Step 2: Convert to fraction form
    192,122/288,184.62 = 67,463/x
  3. Step 3: Cross multiply
    192,122x = 288,184.62 × 67,463
  4. Step 4: Simplify right side
    192,122x = 19,441,799,019.06
  5. Step 5: Solve for x
    x = 19,441,799,019.06/192,122
  6. Step 6: Final answer
    x = 101,195.07

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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.