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Finding the Fourth Proportional to 125,408.93, 188,199 and 50,534.91

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Solution

The fourth proportional to 125,408.93, 188,199 and 50,534.91 is: 75,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,408.93 : 188,199 = 50,534.91 : x
  2. Step 2: Convert to fraction form
    125,408.93/188,199 = 50,534.91/x
  3. Step 3: Cross multiply
    125,408.93x = 188,199 × 50,534.91
  4. Step 4: Simplify right side
    125,408.93x = 9,510,619,527.09
  5. Step 5: Solve for x
    x = 9,510,619,527.09/125,408.93
  6. Step 6: Final answer
    x = 75,836.86

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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.