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Finding the Fourth Proportional to 139,375.94, 192,384.05 and 82,012.14

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Solution

The fourth proportional to 139,375.94, 192,384.05 and 82,012.14 is: 113,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,375.94 : 192,384.05 = 82,012.14 : x
  2. Step 2: Convert to fraction form
    139,375.94/192,384.05 = 82,012.14/x
  3. Step 3: Cross multiply
    139,375.94x = 192,384.05 × 82,012.14
  4. Step 4: Simplify right side
    139,375.94x = 15,777,827,232.31
  5. Step 5: Solve for x
    x = 15,777,827,232.31/139,375.94
  6. Step 6: Final answer
    x = 113,203.38

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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.