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Finding the Fourth Proportional to 274,692.06, 412,101.99 and 85,142.37

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Solution

The fourth proportional to 274,692.06, 412,101.99 and 85,142.37 is: 127,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,692.06 : 412,101.99 = 85,142.37 : x
  2. Step 2: Convert to fraction form
    274,692.06/412,101.99 = 85,142.37/x
  3. Step 3: Cross multiply
    274,692.06x = 412,101.99 × 85,142.37
  4. Step 4: Simplify right side
    274,692.06x = 35,087,340,110.32
  5. Step 5: Solve for x
    x = 35,087,340,110.32/274,692.06
  6. Step 6: Final answer
    x = 127,733.36

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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.