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Finding the Fourth Proportional to 227,309.76, 340,770.24 and 87,168.96

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Solution

The fourth proportional to 227,309.76, 340,770.24 and 87,168.96 is: 130,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,309.76 : 340,770.24 = 87,168.96 : x
  2. Step 2: Convert to fraction form
    227,309.76/340,770.24 = 87,168.96/x
  3. Step 3: Cross multiply
    227,309.76x = 340,770.24 × 87,168.96
  4. Step 4: Simplify right side
    227,309.76x = 29,704,587,419.75
  5. Step 5: Solve for x
    x = 29,704,587,419.75/227,309.76
  6. Step 6: Final answer
    x = 130,678.89

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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.