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Finding the Fourth Proportional to 139,272.81, 192,134.80 and 82,651.38

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Solution

The fourth proportional to 139,272.81, 192,134.80 and 82,651.38 is: 114,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,272.81 : 192,134.80 = 82,651.38 : x
  2. Step 2: Convert to fraction form
    139,272.81/192,134.80 = 82,651.38/x
  3. Step 3: Cross multiply
    139,272.81x = 192,134.80 × 82,651.38
  4. Step 4: Simplify right side
    139,272.81x = 15,880,206,366.02
  5. Step 5: Solve for x
    x = 15,880,206,366.02/139,272.81
  6. Step 6: Final answer
    x = 114,022.30

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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.