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Finding the Fourth Proportional to 273,733.21, 410,614.40 and 86,759.29

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Solution

The fourth proportional to 273,733.21, 410,614.40 and 86,759.29 is: 130,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,733.21 : 410,614.40 = 86,759.29 : x
  2. Step 2: Convert to fraction form
    273,733.21/410,614.40 = 86,759.29/x
  3. Step 3: Cross multiply
    273,733.21x = 410,614.40 × 86,759.29
  4. Step 4: Simplify right side
    273,733.21x = 35,624,613,807.78
  5. Step 5: Solve for x
    x = 35,624,613,807.78/273,733.21
  6. Step 6: Final answer
    x = 130,143.56

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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.