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Finding the Fourth Proportional to 230,997, 318,775.86 and 125,013

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Solution

The fourth proportional to 230,997, 318,775.86 and 125,013 is: 172,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,997 : 318,775.86 = 125,013 : x
  2. Step 2: Convert to fraction form
    230,997/318,775.86 = 125,013/x
  3. Step 3: Cross multiply
    230,997x = 318,775.86 × 125,013
  4. Step 4: Simplify right side
    230,997x = 39,851,126,586.18
  5. Step 5: Solve for x
    x = 39,851,126,586.18/230,997
  6. Step 6: Final answer
    x = 172,517.94

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