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Finding the Fourth Proportional to 231,810.88, 347,832.96 and 172,765.12

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Solution

The fourth proportional to 231,810.88, 347,832.96 and 172,765.12 is: 259,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,810.88 : 347,832.96 = 172,765.12 : x
  2. Step 2: Convert to fraction form
    231,810.88/347,832.96 = 172,765.12/x
  3. Step 3: Cross multiply
    231,810.88x = 347,832.96 × 172,765.12
  4. Step 4: Simplify right side
    231,810.88x = 60,093,403,074.36
  5. Step 5: Solve for x
    x = 60,093,403,074.36/231,810.88
  6. Step 6: Final answer
    x = 259,234.61

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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.