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Finding the Fourth Proportional to 263,807.58, 364,072.32 and 149,046.42

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Solution

The fourth proportional to 263,807.58, 364,072.32 and 149,046.42 is: 205,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,807.58 : 364,072.32 = 149,046.42 : x
  2. Step 2: Convert to fraction form
    263,807.58/364,072.32 = 149,046.42/x
  3. Step 3: Cross multiply
    263,807.58x = 364,072.32 × 149,046.42
  4. Step 4: Simplify right side
    263,807.58x = 54,263,675,917.09
  5. Step 5: Solve for x
    x = 54,263,675,917.09/263,807.58
  6. Step 6: Final answer
    x = 205,694.15

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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.