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Finding the Fourth Proportional to 109,659.40, 164,229.90 and 74,408.20

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Solution

The fourth proportional to 109,659.40, 164,229.90 and 74,408.20 is: 111,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659.40 : 164,229.90 = 74,408.20 : x
  2. Step 2: Convert to fraction form
    109,659.40/164,229.90 = 74,408.20/x
  3. Step 3: Cross multiply
    109,659.40x = 164,229.90 × 74,408.20
  4. Step 4: Simplify right side
    109,659.40x = 12,220,051,245.18
  5. Step 5: Solve for x
    x = 12,220,051,245.18/109,659.40
  6. Step 6: Final answer
    x = 111,436.42

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1.5x scale

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.