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Finding the Fourth Proportional to 192,834, 289,256.12 and 61,506

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Solution

The fourth proportional to 192,834, 289,256.12 and 61,506 is: 92,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,834 : 289,256.12 = 61,506 : x
  2. Step 2: Convert to fraction form
    192,834/289,256.12 = 61,506/x
  3. Step 3: Cross multiply
    192,834x = 289,256.12 × 61,506
  4. Step 4: Simplify right side
    192,834x = 17,790,986,916.72
  5. Step 5: Solve for x
    x = 17,790,986,916.72/192,834
  6. Step 6: Final answer
    x = 92,260.63

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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.