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Finding the Fourth Proportional to 273,421.26, 410,394.60 and 133,278.30

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Solution

The fourth proportional to 273,421.26, 410,394.60 and 133,278.30 is: 200,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,421.26 : 410,394.60 = 133,278.30 : x
  2. Step 2: Convert to fraction form
    273,421.26/410,394.60 = 133,278.30/x
  3. Step 3: Cross multiply
    273,421.26x = 410,394.60 × 133,278.30
  4. Step 4: Simplify right side
    273,421.26x = 54,696,694,617.18
  5. Step 5: Solve for x
    x = 54,696,694,617.18/273,421.26
  6. Step 6: Final answer
    x = 200,045.51

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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.