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Finding the Fourth Proportional to 225,255.86, 338,050.25 and 181,411.78

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Solution

The fourth proportional to 225,255.86, 338,050.25 and 181,411.78 is: 272,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,255.86 : 338,050.25 = 181,411.78 : x
  2. Step 2: Convert to fraction form
    225,255.86/338,050.25 = 181,411.78/x
  3. Step 3: Cross multiply
    225,255.86x = 338,050.25 × 181,411.78
  4. Step 4: Simplify right side
    225,255.86x = 61,326,297,581.95
  5. Step 5: Solve for x
    x = 61,326,297,581.95/225,255.86
  6. Step 6: Final answer
    x = 272,251.73

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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.