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Finding the Fourth Proportional to 139,973.46, 193,193.47 and 82,591.44

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Solution

The fourth proportional to 139,973.46, 193,193.47 and 82,591.44 is: 113,993.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,973.46 : 193,193.47 = 82,591.44 : x
  2. Step 2: Convert to fraction form
    139,973.46/193,193.47 = 82,591.44/x
  3. Step 3: Cross multiply
    139,973.46x = 193,193.47 × 82,591.44
  4. Step 4: Simplify right side
    139,973.46x = 15,956,126,885.90
  5. Step 5: Solve for x
    x = 15,956,126,885.90/139,973.46
  6. Step 6: Final answer
    x = 113,993.94

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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.