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Finding the Fourth Proportional to 192,832, 289,253.12 and 61,504

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Solution

The fourth proportional to 192,832, 289,253.12 and 61,504 is: 92,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,832 : 289,253.12 = 61,504 : x
  2. Step 2: Convert to fraction form
    192,832/289,253.12 = 61,504/x
  3. Step 3: Cross multiply
    192,832x = 289,253.12 × 61,504
  4. Step 4: Simplify right side
    192,832x = 17,790,223,892.48
  5. Step 5: Solve for x
    x = 17,790,223,892.48/192,832
  6. Step 6: Final answer
    x = 92,257.63

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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.