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Finding the Fourth Proportional to 263,805.58, 364,069.56 and 149,044.42

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Solution

The fourth proportional to 263,805.58, 364,069.56 and 149,044.42 is: 205,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,805.58 : 364,069.56 = 149,044.42 : x
  2. Step 2: Convert to fraction form
    263,805.58/364,069.56 = 149,044.42/x
  3. Step 3: Cross multiply
    263,805.58x = 364,069.56 × 149,044.42
  4. Step 4: Simplify right side
    263,805.58x = 54,262,536,409.86
  5. Step 5: Solve for x
    x = 54,262,536,409.86/263,805.58
  6. Step 6: Final answer
    x = 205,691.39

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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.