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Finding the Fourth Proportional to 146,164.41, 219,157.83 and 57,311.46

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Solution

The fourth proportional to 146,164.41, 219,157.83 and 57,311.46 is: 85,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,164.41 : 219,157.83 = 57,311.46 : x
  2. Step 2: Convert to fraction form
    146,164.41/219,157.83 = 57,311.46/x
  3. Step 3: Cross multiply
    146,164.41x = 219,157.83 × 57,311.46
  4. Step 4: Simplify right side
    146,164.41x = 12,560,255,207.73
  5. Step 5: Solve for x
    x = 12,560,255,207.73/146,164.41
  6. Step 6: Final answer
    x = 85,932.38

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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.