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Finding the Fourth Proportional to 274,801.49, 412,261.09 and 85,257.78

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Solution

The fourth proportional to 274,801.49, 412,261.09 and 85,257.78 is: 127,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,801.49 : 412,261.09 = 85,257.78 : x
  2. Step 2: Convert to fraction form
    274,801.49/412,261.09 = 85,257.78/x
  3. Step 3: Cross multiply
    274,801.49x = 412,261.09 × 85,257.78
  4. Step 4: Simplify right side
    274,801.49x = 35,148,465,313.78
  5. Step 5: Solve for x
    x = 35,148,465,313.78/274,801.49
  6. Step 6: Final answer
    x = 127,904.93

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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.