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Finding the Fourth Proportional to 204,010.84, 305,757.15 and 115,314.22

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Solution

The fourth proportional to 204,010.84, 305,757.15 and 115,314.22 is: 172,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,010.84 : 305,757.15 = 115,314.22 : x
  2. Step 2: Convert to fraction form
    204,010.84/305,757.15 = 115,314.22/x
  3. Step 3: Cross multiply
    204,010.84x = 305,757.15 × 115,314.22
  4. Step 4: Simplify right side
    204,010.84x = 35,258,147,261.67
  5. Step 5: Solve for x
    x = 35,258,147,261.67/204,010.84
  6. Step 6: Final answer
    x = 172,824.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.