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Finding the Fourth Proportional to 146,540.56, 219,650.48 and 75,467.50

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Solution

The fourth proportional to 146,540.56, 219,650.48 and 75,467.50 is: 113,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,540.56 : 219,650.48 = 75,467.50 : x
  2. Step 2: Convert to fraction form
    146,540.56/219,650.48 = 75,467.50/x
  3. Step 3: Cross multiply
    146,540.56x = 219,650.48 × 75,467.50
  4. Step 4: Simplify right side
    146,540.56x = 16,576,472,238.94
  5. Step 5: Solve for x
    x = 16,576,472,238.94/146,540.56
  6. Step 6: Final answer
    x = 113,118.67

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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.