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Finding the Fourth Proportional to 258,194.30, 387,142.45 and 100,238.22

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Solution

The fourth proportional to 258,194.30, 387,142.45 and 100,238.22 is: 150,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,194.30 : 387,142.45 = 100,238.22 : x
  2. Step 2: Convert to fraction form
    258,194.30/387,142.45 = 100,238.22/x
  3. Step 3: Cross multiply
    258,194.30x = 387,142.45 × 100,238.22
  4. Step 4: Simplify right side
    258,194.30x = 38,806,469,823.84
  5. Step 5: Solve for x
    x = 38,806,469,823.84/258,194.30
  6. Step 6: Final answer
    x = 150,299.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.