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Finding the Fourth Proportional to 231,787.56, 319,840.38 and 129,798.84

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Solution

The fourth proportional to 231,787.56, 319,840.38 and 129,798.84 is: 179,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,787.56 : 319,840.38 = 129,798.84 : x
  2. Step 2: Convert to fraction form
    231,787.56/319,840.38 = 129,798.84/x
  3. Step 3: Cross multiply
    231,787.56x = 319,840.38 × 129,798.84
  4. Step 4: Simplify right side
    231,787.56x = 41,514,910,309.16
  5. Step 5: Solve for x
    x = 41,514,910,309.16/231,787.56
  6. Step 6: Final answer
    x = 179,107.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.