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Finding the Fourth Proportional to 227,838.72, 341,757.90 and 177,843.90

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Solution

The fourth proportional to 227,838.72, 341,757.90 and 177,843.90 is: 266,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,838.72 : 341,757.90 = 177,843.90 : x
  2. Step 2: Convert to fraction form
    227,838.72/341,757.90 = 177,843.90/x
  3. Step 3: Cross multiply
    227,838.72x = 341,757.90 × 177,843.90
  4. Step 4: Simplify right side
    227,838.72x = 60,779,557,791.81
  5. Step 5: Solve for x
    x = 60,779,557,791.81/227,838.72
  6. Step 6: Final answer
    x = 266,765.71

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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.