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Finding the Fourth Proportional to 231,415.31, 319,321.22 and 129,435.50

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Solution

The fourth proportional to 231,415.31, 319,321.22 and 129,435.50 is: 178,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,415.31 : 319,321.22 = 129,435.50 : x
  2. Step 2: Convert to fraction form
    231,415.31/319,321.22 = 129,435.50/x
  3. Step 3: Cross multiply
    231,415.31x = 319,321.22 × 129,435.50
  4. Step 4: Simplify right side
    231,415.31x = 41,331,499,527.53
  5. Step 5: Solve for x
    x = 41,331,499,527.53/231,415.31
  6. Step 6: Final answer
    x = 178,603.14

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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.