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Finding the Fourth Proportional to 263,794.60, 364,054.40 and 149,033.44

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Solution

The fourth proportional to 263,794.60, 364,054.40 and 149,033.44 is: 205,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,794.60 : 364,054.40 = 149,033.44 : x
  2. Step 2: Convert to fraction form
    263,794.60/364,054.40 = 149,033.44/x
  3. Step 3: Cross multiply
    263,794.60x = 364,054.40 × 149,033.44
  4. Step 4: Simplify right side
    263,794.60x = 54,256,279,579.14
  5. Step 5: Solve for x
    x = 54,256,279,579.14/263,794.60
  6. Step 6: Final answer
    x = 205,676.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.