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Finding the Fourth Proportional to 146,200.41, 201,745.31 and 82,544.49

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Solution

The fourth proportional to 146,200.41, 201,745.31 and 82,544.49 is: 113,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,200.41 : 201,745.31 = 82,544.49 : x
  2. Step 2: Convert to fraction form
    146,200.41/201,745.31 = 82,544.49/x
  3. Step 3: Cross multiply
    146,200.41x = 201,745.31 × 82,544.49
  4. Step 4: Simplify right side
    146,200.41x = 16,652,963,311.12
  5. Step 5: Solve for x
    x = 16,652,963,311.12/146,200.41
  6. Step 6: Final answer
    x = 113,905.04

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Why These Related Problems?

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