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Finding the Fourth Proportional to 146,876, 202,691.32 and 83,226.88

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Solution

The fourth proportional to 146,876, 202,691.32 and 83,226.88 is: 114,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,876 : 202,691.32 = 83,226.88 : x
  2. Step 2: Convert to fraction form
    146,876/202,691.32 = 83,226.88/x
  3. Step 3: Cross multiply
    146,876x = 202,691.32 × 83,226.88
  4. Step 4: Simplify right side
    146,876x = 16,869,366,166.68
  5. Step 5: Solve for x
    x = 16,869,366,166.68/146,876
  6. Step 6: Final answer
    x = 114,854.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.