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Finding the Fourth Proportional to 231,785.72, 347,678.60 and 74,026.48

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Solution

The fourth proportional to 231,785.72, 347,678.60 and 74,026.48 is: 111,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,785.72 : 347,678.60 = 74,026.48 : x
  2. Step 2: Convert to fraction form
    231,785.72/347,678.60 = 74,026.48/x
  3. Step 3: Cross multiply
    231,785.72x = 347,678.60 × 74,026.48
  4. Step 4: Simplify right side
    231,785.72x = 25,737,422,929.33
  5. Step 5: Solve for x
    x = 25,737,422,929.33/231,785.72
  6. Step 6: Final answer
    x = 111,039.73

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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.