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Finding the Fourth Proportional to 109,601.70, 164,467.35 and 79,944.90

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Solution

The fourth proportional to 109,601.70, 164,467.35 and 79,944.90 is: 119,964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,601.70 : 164,467.35 = 79,944.90 : x
  2. Step 2: Convert to fraction form
    109,601.70/164,467.35 = 79,944.90/x
  3. Step 3: Cross multiply
    109,601.70x = 164,467.35 × 79,944.90
  4. Step 4: Simplify right side
    109,601.70x = 13,148,325,849.02
  5. Step 5: Solve for x
    x = 13,148,325,849.02/109,601.70
  6. Step 6: Final answer
    x = 119,964.62

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Why These Related Problems?

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