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Finding the Fourth Proportional to 231,220.95, 319,084.78 and 135,727.63

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Solution

The fourth proportional to 231,220.95, 319,084.78 and 135,727.63 is: 187,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,220.95 : 319,084.78 = 135,727.63 : x
  2. Step 2: Convert to fraction form
    231,220.95/319,084.78 = 135,727.63/x
  3. Step 3: Cross multiply
    231,220.95x = 319,084.78 × 135,727.63
  4. Step 4: Simplify right side
    231,220.95x = 43,308,620,958.47
  5. Step 5: Solve for x
    x = 43,308,620,958.47/231,220.95
  6. Step 6: Final answer
    x = 187,304.05

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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.