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Finding the Fourth Proportional to 146,516.68, 202,191.78 and 82,854.28

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Solution

The fourth proportional to 146,516.68, 202,191.78 and 82,854.28 is: 114,338.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,516.68 : 202,191.78 = 82,854.28 : x
  2. Step 2: Convert to fraction form
    146,516.68/202,191.78 = 82,854.28/x
  3. Step 3: Cross multiply
    146,516.68x = 202,191.78 × 82,854.28
  4. Step 4: Simplify right side
    146,516.68x = 16,752,454,353.82
  5. Step 5: Solve for x
    x = 16,752,454,353.82/146,516.68
  6. Step 6: Final answer
    x = 114,338.21

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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.