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Finding the Fourth Proportional to 139,227.20, 208,840.80 and 100,152.80

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Solution

The fourth proportional to 139,227.20, 208,840.80 and 100,152.80 is: 150,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,227.20 : 208,840.80 = 100,152.80 : x
  2. Step 2: Convert to fraction form
    139,227.20/208,840.80 = 100,152.80/x
  3. Step 3: Cross multiply
    139,227.20x = 208,840.80 × 100,152.80
  4. Step 4: Simplify right side
    139,227.20x = 20,915,990,874.24
  5. Step 5: Solve for x
    x = 20,915,990,874.24/139,227.20
  6. Step 6: Final answer
    x = 150,229.20

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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.