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Finding the Fourth Proportional to 146,202.77, 201,737.08 and 82,539.20

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Solution

The fourth proportional to 146,202.77, 201,737.08 and 82,539.20 is: 113,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,202.77 : 201,737.08 = 82,539.20 : x
  2. Step 2: Convert to fraction form
    146,202.77/201,737.08 = 82,539.20/x
  3. Step 3: Cross multiply
    146,202.77x = 201,737.08 × 82,539.20
  4. Step 4: Simplify right side
    146,202.77x = 16,651,217,801.05
  5. Step 5: Solve for x
    x = 16,651,217,801.05/146,202.77
  6. Step 6: Final answer
    x = 113,891.26

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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.