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Finding the Fourth Proportional to 273,614.96, 410,485.66 and 86,626.46

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Solution

The fourth proportional to 273,614.96, 410,485.66 and 86,626.46 is: 129,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,614.96 : 410,485.66 = 86,626.46 : x
  2. Step 2: Convert to fraction form
    273,614.96/410,485.66 = 86,626.46/x
  3. Step 3: Cross multiply
    273,614.96x = 410,485.66 × 86,626.46
  4. Step 4: Simplify right side
    273,614.96x = 35,558,919,606.56
  5. Step 5: Solve for x
    x = 35,558,919,606.56/273,614.96
  6. Step 6: Final answer
    x = 129,959.71

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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.