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Finding the Fourth Proportional to 231,334.29, 319,108.24 and 135,822.53

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Solution

The fourth proportional to 231,334.29, 319,108.24 and 135,822.53 is: 187,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,334.29 : 319,108.24 = 135,822.53 : x
  2. Step 2: Convert to fraction form
    231,334.29/319,108.24 = 135,822.53/x
  3. Step 3: Cross multiply
    231,334.29x = 319,108.24 × 135,822.53
  4. Step 4: Simplify right side
    231,334.29x = 43,342,089,468.20
  5. Step 5: Solve for x
    x = 43,342,089,468.20/231,334.29
  6. Step 6: Final answer
    x = 187,356.96

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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.