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Finding the Fourth Proportional to 146,817.22, 202,617.58 and 82,287.22

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Solution

The fourth proportional to 146,817.22, 202,617.58 and 82,287.22 is: 113,561.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,817.22 : 202,617.58 = 82,287.22 : x
  2. Step 2: Convert to fraction form
    146,817.22/202,617.58 = 82,287.22/x
  3. Step 3: Cross multiply
    146,817.22x = 202,617.58 × 82,287.22
  4. Step 4: Simplify right side
    146,817.22x = 16,672,837,381.33
  5. Step 5: Solve for x
    x = 16,672,837,381.33/146,817.22
  6. Step 6: Final answer
    x = 113,561.87

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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.