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Finding the Fourth Proportional to 106,193.40, 146,544.12 and 57,796.30

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Solution

The fourth proportional to 106,193.40, 146,544.12 and 57,796.30 is: 79,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193.40 : 146,544.12 = 57,796.30 : x
  2. Step 2: Convert to fraction form
    106,193.40/146,544.12 = 57,796.30/x
  3. Step 3: Cross multiply
    106,193.40x = 146,544.12 × 57,796.30
  4. Step 4: Simplify right side
    106,193.40x = 8,469,707,922.76
  5. Step 5: Solve for x
    x = 8,469,707,922.76/106,193.40
  6. Step 6: Final answer
    x = 79,757.39

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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.