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Finding the Fourth Proportional to 109,096.40, 163,255.80 and 75,659.60

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Solution

The fourth proportional to 109,096.40, 163,255.80 and 75,659.60 is: 113,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,096.40 : 163,255.80 = 75,659.60 : x
  2. Step 2: Convert to fraction form
    109,096.40/163,255.80 = 75,659.60/x
  3. Step 3: Cross multiply
    109,096.40x = 163,255.80 × 75,659.60
  4. Step 4: Simplify right side
    109,096.40x = 12,351,868,525.68
  5. Step 5: Solve for x
    x = 12,351,868,525.68/109,096.40
  6. Step 6: Final answer
    x = 113,219.76

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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.