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Finding the Fourth Proportional to 274,737.73, 412,165.54 and 85,194.02

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Solution

The fourth proportional to 274,737.73, 412,165.54 and 85,194.02 is: 127,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,737.73 : 412,165.54 = 85,194.02 : x
  2. Step 2: Convert to fraction form
    274,737.73/412,165.54 = 85,194.02/x
  3. Step 3: Cross multiply
    274,737.73x = 412,165.54 × 85,194.02
  4. Step 4: Simplify right side
    274,737.73x = 35,114,039,258.07
  5. Step 5: Solve for x
    x = 35,114,039,258.07/274,737.73
  6. Step 6: Final answer
    x = 127,809.31

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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.