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Finding the Fourth Proportional to 139,596.60, 192,591.06 and 82,200.84

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Solution

The fourth proportional to 139,596.60, 192,591.06 and 82,200.84 is: 113,406.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,596.60 : 192,591.06 = 82,200.84 : x
  2. Step 2: Convert to fraction form
    139,596.60/192,591.06 = 82,200.84/x
  3. Step 3: Cross multiply
    139,596.60x = 192,591.06 × 82,200.84
  4. Step 4: Simplify right side
    139,596.60x = 15,831,146,908.49
  5. Step 5: Solve for x
    x = 15,831,146,908.49/139,596.60
  6. Step 6: Final answer
    x = 113,406.39

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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.