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Finding the Fourth Proportional to 106,252.46, 159,205.46 and 61,916.57

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Solution

The fourth proportional to 106,252.46, 159,205.46 and 61,916.57 is: 92,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,252.46 : 159,205.46 = 61,916.57 : x
  2. Step 2: Convert to fraction form
    106,252.46/159,205.46 = 61,916.57/x
  3. Step 3: Cross multiply
    106,252.46x = 159,205.46 × 61,916.57
  4. Step 4: Simplify right side
    106,252.46x = 9,857,454,902.86
  5. Step 5: Solve for x
    x = 9,857,454,902.86/106,252.46
  6. Step 6: Final answer
    x = 92,773.90

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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.