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Finding the Fourth Proportional to 138,858.84, 208,245.15 and 50,100.75

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Solution

The fourth proportional to 138,858.84, 208,245.15 and 50,100.75 is: 75,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858.84 : 208,245.15 = 50,100.75 : x
  2. Step 2: Convert to fraction form
    138,858.84/208,245.15 = 50,100.75/x
  3. Step 3: Cross multiply
    138,858.84x = 208,245.15 × 50,100.75
  4. Step 4: Simplify right side
    138,858.84x = 10,433,238,198.86
  5. Step 5: Solve for x
    x = 10,433,238,198.86/138,858.84
  6. Step 6: Final answer
    x = 75,135.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.