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Finding the Fourth Proportional to 371,181.78, 512,232.22 and 201,415.92

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Solution

The fourth proportional to 371,181.78, 512,232.22 and 201,415.92 is: 277,954.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,181.78 : 512,232.22 = 201,415.92 : x
  2. Step 2: Convert to fraction form
    371,181.78/512,232.22 = 201,415.92/x
  3. Step 3: Cross multiply
    371,181.78x = 512,232.22 × 201,415.92
  4. Step 4: Simplify right side
    371,181.78x = 103,171,723,844.94
  5. Step 5: Solve for x
    x = 103,171,723,844.94/371,181.78
  6. Step 6: Final answer
    x = 277,954.71

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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.