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Finding the Fourth Proportional to 146,860.02, 202,676.85 and 83,198.34

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Solution

The fourth proportional to 146,860.02, 202,676.85 and 83,198.34 is: 114,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,860.02 : 202,676.85 = 83,198.34 : x
  2. Step 2: Convert to fraction form
    146,860.02/202,676.85 = 83,198.34/x
  3. Step 3: Cross multiply
    146,860.02x = 202,676.85 × 83,198.34
  4. Step 4: Simplify right side
    146,860.02x = 16,862,377,476.43
  5. Step 5: Solve for x
    x = 16,862,377,476.43/146,860.02
  6. Step 6: Final answer
    x = 114,819.39

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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.