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Finding the Fourth Proportional to 276,692.09, 414,100.72 and 170,143.54

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Solution

The fourth proportional to 276,692.09, 414,100.72 and 170,143.54 is: 254,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,692.09 : 414,100.72 = 170,143.54 : x
  2. Step 2: Convert to fraction form
    276,692.09/414,100.72 = 170,143.54/x
  3. Step 3: Cross multiply
    276,692.09x = 414,100.72 × 170,143.54
  4. Step 4: Simplify right side
    276,692.09x = 70,456,561,594.78
  5. Step 5: Solve for x
    x = 70,456,561,594.78/276,692.09
  6. Step 6: Final answer
    x = 254,638.88

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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.