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Finding the Fourth Proportional to 225,778.96, 338,431.37 and 75,967.23

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Solution

The fourth proportional to 225,778.96, 338,431.37 and 75,967.23 is: 113,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,778.96 : 338,431.37 = 75,967.23 : x
  2. Step 2: Convert to fraction form
    225,778.96/338,431.37 = 75,967.23/x
  3. Step 3: Cross multiply
    225,778.96x = 338,431.37 × 75,967.23
  4. Step 4: Simplify right side
    225,778.96x = 25,709,694,613.29
  5. Step 5: Solve for x
    x = 25,709,694,613.29/225,778.96
  6. Step 6: Final answer
    x = 113,871.08

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1.5x scale

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.