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Finding the Fourth Proportional to 273,769.80, 410,649.84 and 140,571.78

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Solution

The fourth proportional to 273,769.80, 410,649.84 and 140,571.78 is: 210,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,769.80 : 410,649.84 = 140,571.78 : x
  2. Step 2: Convert to fraction form
    273,769.80/410,649.84 = 140,571.78/x
  3. Step 3: Cross multiply
    273,769.80x = 410,649.84 × 140,571.78
  4. Step 4: Simplify right side
    273,769.80x = 57,725,778,965.52
  5. Step 5: Solve for x
    x = 57,725,778,965.52/273,769.80
  6. Step 6: Final answer
    x = 210,855.17

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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.