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Finding the Fourth Proportional to 273,961.06, 411,071.94 and 189,850.66

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Solution

The fourth proportional to 273,961.06, 411,071.94 and 189,850.66 is: 284,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,961.06 : 411,071.94 = 189,850.66 : x
  2. Step 2: Convert to fraction form
    273,961.06/411,071.94 = 189,850.66/x
  3. Step 3: Cross multiply
    273,961.06x = 411,071.94 × 189,850.66
  4. Step 4: Simplify right side
    273,961.06x = 78,042,279,116.48
  5. Step 5: Solve for x
    x = 78,042,279,116.48/273,961.06
  6. Step 6: Final answer
    x = 284,866.32

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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.