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Finding the Fourth Proportional to 263,806.68, 395,765.37 and 86,299.77

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Solution

The fourth proportional to 263,806.68, 395,765.37 and 86,299.77 is: 129,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,806.68 : 395,765.37 = 86,299.77 : x
  2. Step 2: Convert to fraction form
    263,806.68/395,765.37 = 86,299.77/x
  3. Step 3: Cross multiply
    263,806.68x = 395,765.37 × 86,299.77
  4. Step 4: Simplify right side
    263,806.68x = 34,154,460,404.96
  5. Step 5: Solve for x
    x = 34,154,460,404.96/263,806.68
  6. Step 6: Final answer
    x = 129,467.76

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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.