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Finding the Fourth Proportional to 109,768.40, 164,556.44 and 52,813.84

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Solution

The fourth proportional to 109,768.40, 164,556.44 and 52,813.84 is: 79,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,768.40 : 164,556.44 = 52,813.84 : x
  2. Step 2: Convert to fraction form
    109,768.40/164,556.44 = 52,813.84/x
  3. Step 3: Cross multiply
    109,768.40x = 164,556.44 × 52,813.84
  4. Step 4: Simplify right side
    109,768.40x = 8,690,857,493.13
  5. Step 5: Solve for x
    x = 8,690,857,493.13/109,768.40
  6. Step 6: Final answer
    x = 79,174.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.