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Finding the Fourth Proportional to 225,953.26, 338,938.68 and 68,181.72

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Solution

The fourth proportional to 225,953.26, 338,938.68 and 68,181.72 is: 102,275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,953.26 : 338,938.68 = 68,181.72 : x
  2. Step 2: Convert to fraction form
    225,953.26/338,938.68 = 68,181.72/x
  3. Step 3: Cross multiply
    225,953.26x = 338,938.68 × 68,181.72
  4. Step 4: Simplify right side
    225,953.26x = 23,109,422,176.93
  5. Step 5: Solve for x
    x = 23,109,422,176.93/225,953.26
  6. Step 6: Final answer
    x = 102,275.23

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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.