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Finding the Fourth Proportional to 227,941.70, 341,912.55 and 109,843.70

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Solution

The fourth proportional to 227,941.70, 341,912.55 and 109,843.70 is: 164,765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,941.70 : 341,912.55 = 109,843.70 : x
  2. Step 2: Convert to fraction form
    227,941.70/341,912.55 = 109,843.70/x
  3. Step 3: Cross multiply
    227,941.70x = 341,912.55 × 109,843.70
  4. Step 4: Simplify right side
    227,941.70x = 37,556,939,568.44
  5. Step 5: Solve for x
    x = 37,556,939,568.44/227,941.70
  6. Step 6: Final answer
    x = 164,765.55

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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.