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Finding the Fourth Proportional to 264,194.97, 395,682.38 and 158,781.69

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Solution

The fourth proportional to 264,194.97, 395,682.38 and 158,781.69 is: 237,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,194.97 : 395,682.38 = 158,781.69 : x
  2. Step 2: Convert to fraction form
    264,194.97/395,682.38 = 158,781.69/x
  3. Step 3: Cross multiply
    264,194.97x = 395,682.38 × 158,781.69
  4. Step 4: Simplify right side
    264,194.97x = 62,827,116,205.71
  5. Step 5: Solve for x
    x = 62,827,116,205.71/264,194.97
  6. Step 6: Final answer
    x = 237,805.88

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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.