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Finding the Fourth Proportional to 273,764.51, 410,614.41 and 84,224.51

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Solution

The fourth proportional to 273,764.51, 410,614.41 and 84,224.51 is: 126,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,764.51 : 410,614.41 = 84,224.51 : x
  2. Step 2: Convert to fraction form
    273,764.51/410,614.41 = 84,224.51/x
  3. Step 3: Cross multiply
    273,764.51x = 410,614.41 × 84,224.51
  4. Step 4: Simplify right side
    273,764.51x = 34,583,797,283.76
  5. Step 5: Solve for x
    x = 34,583,797,283.76/273,764.51
  6. Step 6: Final answer
    x = 126,326.81

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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.