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Finding the Fourth Proportional to 146,545.99, 202,244.34 and 82,021.69

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Solution

The fourth proportional to 146,545.99, 202,244.34 and 82,021.69 is: 113,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,545.99 : 202,244.34 = 82,021.69 : x
  2. Step 2: Convert to fraction form
    146,545.99/202,244.34 = 82,021.69/x
  3. Step 3: Cross multiply
    146,545.99x = 202,244.34 × 82,021.69
  4. Step 4: Simplify right side
    146,545.99x = 16,588,422,559.73
  5. Step 5: Solve for x
    x = 16,588,422,559.73/146,545.99
  6. Step 6: Final answer
    x = 113,196.02

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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.