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Finding the Fourth Proportional to 231,355.31, 319,274.60 and 140,715.09

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Solution

The fourth proportional to 231,355.31, 319,274.60 and 140,715.09 is: 194,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,355.31 : 319,274.60 = 140,715.09 : x
  2. Step 2: Convert to fraction form
    231,355.31/319,274.60 = 140,715.09/x
  3. Step 3: Cross multiply
    231,355.31x = 319,274.60 × 140,715.09
  4. Step 4: Simplify right side
    231,355.31x = 44,926,753,370.14
  5. Step 5: Solve for x
    x = 44,926,753,370.14/231,355.31
  6. Step 6: Final answer
    x = 194,189.42

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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.