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Finding the Fourth Proportional to 172,414.44, 237,896.25 and 100,780.61

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Solution

The fourth proportional to 172,414.44, 237,896.25 and 100,780.61 is: 139,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414.44 : 237,896.25 = 100,780.61 : x
  2. Step 2: Convert to fraction form
    172,414.44/237,896.25 = 100,780.61/x
  3. Step 3: Cross multiply
    172,414.44x = 237,896.25 × 100,780.61
  4. Step 4: Simplify right side
    172,414.44x = 23,975,328,002.23
  5. Step 5: Solve for x
    x = 23,975,328,002.23/172,414.44
  6. Step 6: Final answer
    x = 139,056.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.