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Finding the Fourth Proportional to 109,609.60, 164,365.80 and 50,414.80

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Solution

The fourth proportional to 109,609.60, 164,365.80 and 50,414.80 is: 75,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609.60 : 164,365.80 = 50,414.80 : x
  2. Step 2: Convert to fraction form
    109,609.60/164,365.80 = 50,414.80/x
  3. Step 3: Cross multiply
    109,609.60x = 164,365.80 × 50,414.80
  4. Step 4: Simplify right side
    109,609.60x = 8,286,468,933.84
  5. Step 5: Solve for x
    x = 8,286,468,933.84/109,609.60
  6. Step 6: Final answer
    x = 75,599.85

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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.