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Finding the Fourth Proportional to 139,211.64, 192,161.85 and 82,623

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Solution

The fourth proportional to 139,211.64, 192,161.85 and 82,623 is: 114,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,211.64 : 192,161.85 = 82,623 : x
  2. Step 2: Convert to fraction form
    139,211.64/192,161.85 = 82,623/x
  3. Step 3: Cross multiply
    139,211.64x = 192,161.85 × 82,623
  4. Step 4: Simplify right side
    139,211.64x = 15,876,988,532.55
  5. Step 5: Solve for x
    x = 15,876,988,532.55/139,211.64
  6. Step 6: Final answer
    x = 114,049.29

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