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Finding the Fourth Proportional to 274,736.73, 412,164.04 and 85,193.02

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Solution

The fourth proportional to 274,736.73, 412,164.04 and 85,193.02 is: 127,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,736.73 : 412,164.04 = 85,193.02 : x
  2. Step 2: Convert to fraction form
    274,736.73/412,164.04 = 85,193.02/x
  3. Step 3: Cross multiply
    274,736.73x = 412,164.04 × 85,193.02
  4. Step 4: Simplify right side
    274,736.73x = 35,113,498,877.04
  5. Step 5: Solve for x
    x = 35,113,498,877.04/274,736.73
  6. Step 6: Final answer
    x = 127,807.81

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Why These Related Problems?

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