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Finding the Fourth Proportional to 227,768.80, 341,750.40 and 109,379.20

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Solution

The fourth proportional to 227,768.80, 341,750.40 and 109,379.20 is: 164,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,768.80 : 341,750.40 = 109,379.20 : x
  2. Step 2: Convert to fraction form
    227,768.80/341,750.40 = 109,379.20/x
  3. Step 3: Cross multiply
    227,768.80x = 341,750.40 × 109,379.20
  4. Step 4: Simplify right side
    227,768.80x = 37,380,385,351.68
  5. Step 5: Solve for x
    x = 37,380,385,351.68/227,768.80
  6. Step 6: Final answer
    x = 164,115.48

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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.