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Finding the Fourth Proportional to 119,493.20, 164,778.36 and 79,193

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Solution

The fourth proportional to 119,493.20, 164,778.36 and 79,193 is: 109,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,493.20 : 164,778.36 = 79,193 : x
  2. Step 2: Convert to fraction form
    119,493.20/164,778.36 = 79,193/x
  3. Step 3: Cross multiply
    119,493.20x = 164,778.36 × 79,193
  4. Step 4: Simplify right side
    119,493.20x = 13,049,292,663.48
  5. Step 5: Solve for x
    x = 13,049,292,663.48/119,493.20
  6. Step 6: Final answer
    x = 109,205.32

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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.