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Finding the Fourth Proportional to 231,634.68, 319,640.34 and 129,642.72

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Solution

The fourth proportional to 231,634.68, 319,640.34 and 129,642.72 is: 178,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,634.68 : 319,640.34 = 129,642.72 : x
  2. Step 2: Convert to fraction form
    231,634.68/319,640.34 = 129,642.72/x
  3. Step 3: Cross multiply
    231,634.68x = 319,640.34 × 129,642.72
  4. Step 4: Simplify right side
    231,634.68x = 41,439,043,099.32
  5. Step 5: Solve for x
    x = 41,439,043,099.32/231,634.68
  6. Step 6: Final answer
    x = 178,898.27

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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.