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Finding the Fourth Proportional to 207,906.14, 286,910.39 and 117,261.92

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Solution

The fourth proportional to 207,906.14, 286,910.39 and 117,261.92 is: 161,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.14 : 286,910.39 = 117,261.92 : x
  2. Step 2: Convert to fraction form
    207,906.14/286,910.39 = 117,261.92/x
  3. Step 3: Cross multiply
    207,906.14x = 286,910.39 × 117,261.92
  4. Step 4: Simplify right side
    207,906.14x = 33,643,664,209.78
  5. Step 5: Solve for x
    x = 33,643,664,209.78/207,906.14
  6. Step 6: Final answer
    x = 161,821.41

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