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Finding the Fourth Proportional to 231,453.56, 319,403.04 and 135,968.96

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Solution

The fourth proportional to 231,453.56, 319,403.04 and 135,968.96 is: 187,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,453.56 : 319,403.04 = 135,968.96 : x
  2. Step 2: Convert to fraction form
    231,453.56/319,403.04 = 135,968.96/x
  3. Step 3: Cross multiply
    231,453.56x = 319,403.04 × 135,968.96
  4. Step 4: Simplify right side
    231,453.56x = 43,428,899,169.64
  5. Step 5: Solve for x
    x = 43,428,899,169.64/231,453.56
  6. Step 6: Final answer
    x = 187,635.48

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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.