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Finding the Fourth Proportional to 227,245.28, 340,795.20 and 75,408.80

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Solution

The fourth proportional to 227,245.28, 340,795.20 and 75,408.80 is: 113,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,245.28 : 340,795.20 = 75,408.80 : x
  2. Step 2: Convert to fraction form
    227,245.28/340,795.20 = 75,408.80/x
  3. Step 3: Cross multiply
    227,245.28x = 340,795.20 × 75,408.80
  4. Step 4: Simplify right side
    227,245.28x = 25,698,957,077.76
  5. Step 5: Solve for x
    x = 25,698,957,077.76/227,245.28
  6. Step 6: Final answer
    x = 113,089.07

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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.