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Finding the Fourth Proportional to 100,186.38, 150,279.57 and 44,743.50

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Solution

The fourth proportional to 100,186.38, 150,279.57 and 44,743.50 is: 67,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,186.38 : 150,279.57 = 44,743.50 : x
  2. Step 2: Convert to fraction form
    100,186.38/150,279.57 = 44,743.50/x
  3. Step 3: Cross multiply
    100,186.38x = 150,279.57 × 44,743.50
  4. Step 4: Simplify right side
    100,186.38x = 6,724,033,940.30
  5. Step 5: Solve for x
    x = 6,724,033,940.30/100,186.38
  6. Step 6: Final answer
    x = 67,115.25

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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.