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Finding the Fourth Proportional to 197,781.88, 272,940.30 and 107,137.84

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Solution

The fourth proportional to 197,781.88, 272,940.30 and 107,137.84 is: 147,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,781.88 : 272,940.30 = 107,137.84 : x
  2. Step 2: Convert to fraction form
    197,781.88/272,940.30 = 107,137.84/x
  3. Step 3: Cross multiply
    197,781.88x = 272,940.30 × 107,137.84
  4. Step 4: Simplify right side
    197,781.88x = 29,242,233,568.38
  5. Step 5: Solve for x
    x = 29,242,233,568.38/197,781.88
  6. Step 6: Final answer
    x = 147,850.93

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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.