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Finding the Fourth Proportional to 273,763.80, 410,640.84 and 140,565.78

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Solution

The fourth proportional to 273,763.80, 410,640.84 and 140,565.78 is: 210,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,763.80 : 410,640.84 = 140,565.78 : x
  2. Step 2: Convert to fraction form
    273,763.80/410,640.84 = 140,565.78/x
  3. Step 3: Cross multiply
    273,763.80x = 410,640.84 × 140,565.78
  4. Step 4: Simplify right side
    273,763.80x = 57,722,049,974.46
  5. Step 5: Solve for x
    x = 57,722,049,974.46/273,763.80
  6. Step 6: Final answer
    x = 210,846.17

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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.