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Finding the Fourth Proportional to 110,919.20, 166,378.80 and 66,523.10

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Solution

The fourth proportional to 110,919.20, 166,378.80 and 66,523.10 is: 99,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,919.20 : 166,378.80 = 66,523.10 : x
  2. Step 2: Convert to fraction form
    110,919.20/166,378.80 = 66,523.10/x
  3. Step 3: Cross multiply
    110,919.20x = 166,378.80 × 66,523.10
  4. Step 4: Simplify right side
    110,919.20x = 11,068,033,550.28
  5. Step 5: Solve for x
    x = 11,068,033,550.28/110,919.20
  6. Step 6: Final answer
    x = 99,784.65

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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.