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Finding the Fourth Proportional to 146,489, 202,149.22 and 82,828.13

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Solution

The fourth proportional to 146,489, 202,149.22 and 82,828.13 is: 114,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,489 : 202,149.22 = 82,828.13 : x
  2. Step 2: Convert to fraction form
    146,489/202,149.22 = 82,828.13/x
  3. Step 3: Cross multiply
    146,489x = 202,149.22 × 82,828.13
  4. Step 4: Simplify right side
    146,489x = 16,743,641,459.42
  5. Step 5: Solve for x
    x = 16,743,641,459.42/146,489
  6. Step 6: Final answer
    x = 114,299.65

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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.