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Finding the Fourth Proportional to 273,305.82, 410,085.36 and 104,769.84

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Solution

The fourth proportional to 273,305.82, 410,085.36 and 104,769.84 is: 157,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,305.82 : 410,085.36 = 104,769.84 : x
  2. Step 2: Convert to fraction form
    273,305.82/410,085.36 = 104,769.84/x
  3. Step 3: Cross multiply
    273,305.82x = 410,085.36 × 104,769.84
  4. Step 4: Simplify right side
    273,305.82x = 42,964,577,553.54
  5. Step 5: Solve for x
    x = 42,964,577,553.54/273,305.82
  6. Step 6: Final answer
    x = 157,203.30

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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.