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Finding the Fourth Proportional to 273,882.36, 410,541.66 and 133,467.24

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Solution

The fourth proportional to 273,882.36, 410,541.66 and 133,467.24 is: 200,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,882.36 : 410,541.66 = 133,467.24 : x
  2. Step 2: Convert to fraction form
    273,882.36/410,541.66 = 133,467.24/x
  3. Step 3: Cross multiply
    273,882.36x = 410,541.66 × 133,467.24
  4. Step 4: Simplify right side
    273,882.36x = 54,793,862,265.22
  5. Step 5: Solve for x
    x = 54,793,862,265.22/273,882.36
  6. Step 6: Final answer
    x = 200,063.50

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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.