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Finding the Fourth Proportional to 231,856.80, 347,324.40 and 133,245.60

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Solution

The fourth proportional to 231,856.80, 347,324.40 and 133,245.60 is: 199,603.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,856.80 : 347,324.40 = 133,245.60 : x
  2. Step 2: Convert to fraction form
    231,856.80/347,324.40 = 133,245.60/x
  3. Step 3: Cross multiply
    231,856.80x = 347,324.40 × 133,245.60
  4. Step 4: Simplify right side
    231,856.80x = 46,279,448,072.64
  5. Step 5: Solve for x
    x = 46,279,448,072.64/231,856.80
  6. Step 6: Final answer
    x = 199,603.58

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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.