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Finding the Fourth Proportional to 274,185.84, 378,318.36 and 160,942.32

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Solution

The fourth proportional to 274,185.84, 378,318.36 and 160,942.32 is: 222,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,185.84 : 378,318.36 = 160,942.32 : x
  2. Step 2: Convert to fraction form
    274,185.84/378,318.36 = 160,942.32/x
  3. Step 3: Cross multiply
    274,185.84x = 378,318.36 × 160,942.32
  4. Step 4: Simplify right side
    274,185.84x = 60,887,434,557.00
  5. Step 5: Solve for x
    x = 60,887,434,557.00/274,185.84
  6. Step 6: Final answer
    x = 222,066.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.