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Finding the Fourth Proportional to 139,957.38, 193,121.71 and 82,599.09

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Solution

The fourth proportional to 139,957.38, 193,121.71 and 82,599.09 is: 113,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,957.38 : 193,121.71 = 82,599.09 : x
  2. Step 2: Convert to fraction form
    139,957.38/193,121.71 = 82,599.09/x
  3. Step 3: Cross multiply
    139,957.38x = 193,121.71 × 82,599.09
  4. Step 4: Simplify right side
    139,957.38x = 15,951,677,544.69
  5. Step 5: Solve for x
    x = 15,951,677,544.69/139,957.38
  6. Step 6: Final answer
    x = 113,975.25

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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.