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Finding the Fourth Proportional to 125,194.21, 187,799.92 and 50,314.42

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Solution

The fourth proportional to 125,194.21, 187,799.92 and 50,314.42 is: 75,475.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,194.21 : 187,799.92 = 50,314.42 : x
  2. Step 2: Convert to fraction form
    125,194.21/187,799.92 = 50,314.42/x
  3. Step 3: Cross multiply
    125,194.21x = 187,799.92 × 50,314.42
  4. Step 4: Simplify right side
    125,194.21x = 9,449,043,103.44
  5. Step 5: Solve for x
    x = 9,449,043,103.44/125,194.21
  6. Step 6: Final answer
    x = 75,475.08

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Why These Related Problems?

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