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Finding the Fourth Proportional to 146,916, 202,790.22 and 83,296.17

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Solution

The fourth proportional to 146,916, 202,790.22 and 83,296.17 is: 114,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,916 : 202,790.22 = 83,296.17 : x
  2. Step 2: Convert to fraction form
    146,916/202,790.22 = 83,296.17/x
  3. Step 3: Cross multiply
    146,916x = 202,790.22 × 83,296.17
  4. Step 4: Simplify right side
    146,916x = 16,891,648,639.46
  5. Step 5: Solve for x
    x = 16,891,648,639.46/146,916
  6. Step 6: Final answer
    x = 114,974.87

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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.