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Finding the Fourth Proportional to 146,469.78, 202,131.72 and 82,811.34

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Solution

The fourth proportional to 146,469.78, 202,131.72 and 82,811.34 is: 114,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,469.78 : 202,131.72 = 82,811.34 : x
  2. Step 2: Convert to fraction form
    146,469.78/202,131.72 = 82,811.34/x
  3. Step 3: Cross multiply
    146,469.78x = 202,131.72 × 82,811.34
  4. Step 4: Simplify right side
    146,469.78x = 16,738,798,589.70
  5. Step 5: Solve for x
    x = 16,738,798,589.70/146,469.78
  6. Step 6: Final answer
    x = 114,281.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.