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Finding the Fourth Proportional to 146,198.16, 201,742.20 and 82,542.24

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Solution

The fourth proportional to 146,198.16, 201,742.20 and 82,542.24 is: 113,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,198.16 : 201,742.20 = 82,542.24 : x
  2. Step 2: Convert to fraction form
    146,198.16/201,742.20 = 82,542.24/x
  3. Step 3: Cross multiply
    146,198.16x = 201,742.20 × 82,542.24
  4. Step 4: Simplify right side
    146,198.16x = 16,652,253,090.53
  5. Step 5: Solve for x
    x = 16,652,253,090.53/146,198.16
  6. Step 6: Final answer
    x = 113,901.93

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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.