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Finding the Fourth Proportional to 225,818.32, 338,684.25 and 113,467.42

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Solution

The fourth proportional to 225,818.32, 338,684.25 and 113,467.42 is: 170,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,818.32 : 338,684.25 = 113,467.42 : x
  2. Step 2: Convert to fraction form
    225,818.32/338,684.25 = 113,467.42/x
  3. Step 3: Cross multiply
    225,818.32x = 338,684.25 × 113,467.42
  4. Step 4: Simplify right side
    225,818.32x = 38,429,628,042.14
  5. Step 5: Solve for x
    x = 38,429,628,042.14/225,818.32
  6. Step 6: Final answer
    x = 170,179.41

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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.