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Finding the Fourth Proportional to 126,174.60, 189,257.64 and 31,404.60

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Solution

The fourth proportional to 126,174.60, 189,257.64 and 31,404.60 is: 47,105.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,174.60 : 189,257.64 = 31,404.60 : x
  2. Step 2: Convert to fraction form
    126,174.60/189,257.64 = 31,404.60/x
  3. Step 3: Cross multiply
    126,174.60x = 189,257.64 × 31,404.60
  4. Step 4: Simplify right side
    126,174.60x = 5,943,560,481.14
  5. Step 5: Solve for x
    x = 5,943,560,481.14/126,174.60
  6. Step 6: Final answer
    x = 47,105.84

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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.