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Finding the Fourth Proportional to 146,561.20, 202,255.32 and 82,895.20

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Solution

The fourth proportional to 146,561.20, 202,255.32 and 82,895.20 is: 114,395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,561.20 : 202,255.32 = 82,895.20 : x
  2. Step 2: Convert to fraction form
    146,561.20/202,255.32 = 82,895.20/x
  3. Step 3: Cross multiply
    146,561.20x = 202,255.32 × 82,895.20
  4. Step 4: Simplify right side
    146,561.20x = 16,765,995,202.46
  5. Step 5: Solve for x
    x = 16,765,995,202.46/146,561.20
  6. Step 6: Final answer
    x = 114,395.86

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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.