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Finding the Fourth Proportional to 231,264.66, 319,147.43 and 135,772.95

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Solution

The fourth proportional to 231,264.66, 319,147.43 and 135,772.95 is: 187,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,264.66 : 319,147.43 = 135,772.95 : x
  2. Step 2: Convert to fraction form
    231,264.66/319,147.43 = 135,772.95/x
  3. Step 3: Cross multiply
    231,264.66x = 319,147.43 × 135,772.95
  4. Step 4: Simplify right side
    231,264.66x = 43,331,588,056.02
  5. Step 5: Solve for x
    x = 43,331,588,056.02/231,264.66
  6. Step 6: Final answer
    x = 187,367.96

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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.