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Finding the Fourth Proportional to 149,599.62, 206,447.67 and 81,616.38

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Solution

The fourth proportional to 149,599.62, 206,447.67 and 81,616.38 is: 112,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,599.62 : 206,447.67 = 81,616.38 : x
  2. Step 2: Convert to fraction form
    149,599.62/206,447.67 = 81,616.38/x
  3. Step 3: Cross multiply
    149,599.62x = 206,447.67 × 81,616.38
  4. Step 4: Simplify right side
    149,599.62x = 16,849,511,484.83
  5. Step 5: Solve for x
    x = 16,849,511,484.83/149,599.62
  6. Step 6: Final answer
    x = 112,630.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.