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Finding the Fourth Proportional to 149,906.97, 224,796.45 and 86,770.68

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Solution

The fourth proportional to 149,906.97, 224,796.45 and 86,770.68 is: 130,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,906.97 : 224,796.45 = 86,770.68 : x
  2. Step 2: Convert to fraction form
    149,906.97/224,796.45 = 86,770.68/x
  3. Step 3: Cross multiply
    149,906.97x = 224,796.45 × 86,770.68
  4. Step 4: Simplify right side
    149,906.97x = 19,505,740,828.09
  5. Step 5: Solve for x
    x = 19,505,740,828.09/149,906.97
  6. Step 6: Final answer
    x = 130,118.97

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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.