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Finding the Fourth Proportional to 100,198.56, 150,349.28 and 44,077.71

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Solution

The fourth proportional to 100,198.56, 150,349.28 and 44,077.71 is: 66,139.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,198.56 : 150,349.28 = 44,077.71 : x
  2. Step 2: Convert to fraction form
    100,198.56/150,349.28 = 44,077.71/x
  3. Step 3: Cross multiply
    100,198.56x = 150,349.28 × 44,077.71
  4. Step 4: Simplify right side
    100,198.56x = 6,627,051,742.16
  5. Step 5: Solve for x
    x = 6,627,051,742.16/100,198.56
  6. Step 6: Final answer
    x = 66,139.19

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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.