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Finding the Fourth Proportional to 263,813.68, 395,757.48 and 86,334.64

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Solution

The fourth proportional to 263,813.68, 395,757.48 and 86,334.64 is: 129,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,813.68 : 395,757.48 = 86,334.64 : x
  2. Step 2: Convert to fraction form
    263,813.68/395,757.48 = 86,334.64/x
  3. Step 3: Cross multiply
    263,813.68x = 395,757.48 × 86,334.64
  4. Step 4: Simplify right side
    263,813.68x = 34,167,579,563.11
  5. Step 5: Solve for x
    x = 34,167,579,563.11/263,813.68
  6. Step 6: Final answer
    x = 129,514.06

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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.