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Finding the Fourth Proportional to 111,287.20, 166,930.80 and 78,044.80

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Solution

The fourth proportional to 111,287.20, 166,930.80 and 78,044.80 is: 117,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,287.20 : 166,930.80 = 78,044.80 : x
  2. Step 2: Convert to fraction form
    111,287.20/166,930.80 = 78,044.80/x
  3. Step 3: Cross multiply
    111,287.20x = 166,930.80 × 78,044.80
  4. Step 4: Simplify right side
    111,287.20x = 13,028,080,899.84
  5. Step 5: Solve for x
    x = 13,028,080,899.84/111,287.20
  6. Step 6: Final answer
    x = 117,067.20

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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.