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Finding the Fourth Proportional to 110,964.20, 166,244.70 and 64,077.80

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Solution

The fourth proportional to 110,964.20, 166,244.70 and 64,077.80 is: 96,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,964.20 : 166,244.70 = 64,077.80 : x
  2. Step 2: Convert to fraction form
    110,964.20/166,244.70 = 64,077.80/x
  3. Step 3: Cross multiply
    110,964.20x = 166,244.70 × 64,077.80
  4. Step 4: Simplify right side
    110,964.20x = 10,652,594,637.66
  5. Step 5: Solve for x
    x = 10,652,594,637.66/110,964.20
  6. Step 6: Final answer
    x = 96,000.28

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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.