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Finding the Fourth Proportional to 111,919.28, 167,878.92 and 37,019.30

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Solution

The fourth proportional to 111,919.28, 167,878.92 and 37,019.30 is: 55,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919.28 : 167,878.92 = 37,019.30 : x
  2. Step 2: Convert to fraction form
    111,919.28/167,878.92 = 37,019.30/x
  3. Step 3: Cross multiply
    111,919.28x = 167,878.92 × 37,019.30
  4. Step 4: Simplify right side
    111,919.28x = 6,214,760,103.16
  5. Step 5: Solve for x
    x = 6,214,760,103.16/111,919.28
  6. Step 6: Final answer
    x = 55,528.95

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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.