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Finding the Fourth Proportional to 273,311.40, 410,043.90 and 133,074.60

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Solution

The fourth proportional to 273,311.40, 410,043.90 and 133,074.60 is: 199,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,311.40 : 410,043.90 = 133,074.60 : x
  2. Step 2: Convert to fraction form
    273,311.40/410,043.90 = 133,074.60/x
  3. Step 3: Cross multiply
    273,311.40x = 410,043.90 × 133,074.60
  4. Step 4: Simplify right side
    273,311.40x = 54,566,427,974.94
  5. Step 5: Solve for x
    x = 54,566,427,974.94/273,311.40
  6. Step 6: Final answer
    x = 199,649.29

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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.