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Finding the Fourth Proportional to 231,889.25, 347,380.88 and 159,829.36

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Solution

The fourth proportional to 231,889.25, 347,380.88 and 159,829.36 is: 239,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,889.25 : 347,380.88 = 159,829.36 : x
  2. Step 2: Convert to fraction form
    231,889.25/347,380.88 = 159,829.36/x
  3. Step 3: Cross multiply
    231,889.25x = 347,380.88 × 159,829.36
  4. Step 4: Simplify right side
    231,889.25x = 55,521,663,726.64
  5. Step 5: Solve for x
    x = 55,521,663,726.64/231,889.25
  6. Step 6: Final answer
    x = 239,431.81

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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.