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Finding the Fourth Proportional to 273,694.80, 410,964.60 and 149,278.80

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Solution

The fourth proportional to 273,694.80, 410,964.60 and 149,278.80 is: 224,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,694.80 : 410,964.60 = 149,278.80 : x
  2. Step 2: Convert to fraction form
    273,694.80/410,964.60 = 149,278.80/x
  3. Step 3: Cross multiply
    273,694.80x = 410,964.60 × 149,278.80
  4. Step 4: Simplify right side
    273,694.80x = 61,348,302,330.48
  5. Step 5: Solve for x
    x = 61,348,302,330.48/273,694.80
  6. Step 6: Final answer
    x = 224,148.59

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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.