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Finding the Fourth Proportional to 231,797.52, 347,725.44 and 82,002.60

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Solution

The fourth proportional to 231,797.52, 347,725.44 and 82,002.60 is: 123,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,797.52 : 347,725.44 = 82,002.60 : x
  2. Step 2: Convert to fraction form
    231,797.52/347,725.44 = 82,002.60/x
  3. Step 3: Cross multiply
    231,797.52x = 347,725.44 × 82,002.60
  4. Step 4: Simplify right side
    231,797.52x = 28,514,390,166.14
  5. Step 5: Solve for x
    x = 28,514,390,166.14/231,797.52
  6. Step 6: Final answer
    x = 123,014.22

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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.