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Finding the Fourth Proportional to 110,990.64, 166,434.20 and 57,668.30

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Solution

The fourth proportional to 110,990.64, 166,434.20 and 57,668.30 is: 86,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,990.64 : 166,434.20 = 57,668.30 : x
  2. Step 2: Convert to fraction form
    110,990.64/166,434.20 = 57,668.30/x
  3. Step 3: Cross multiply
    110,990.64x = 166,434.20 × 57,668.30
  4. Step 4: Simplify right side
    110,990.64x = 9,597,977,375.86
  5. Step 5: Solve for x
    x = 9,597,977,375.86/110,990.64
  6. Step 6: Final answer
    x = 86,475.56

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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.