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Finding the Fourth Proportional to 149,906.84, 224,796.24 and 86,770.54

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Solution

The fourth proportional to 149,906.84, 224,796.24 and 86,770.54 is: 130,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,906.84 : 224,796.24 = 86,770.54 : x
  2. Step 2: Convert to fraction form
    149,906.84/224,796.24 = 86,770.54/x
  3. Step 3: Cross multiply
    149,906.84x = 224,796.24 × 86,770.54
  4. Step 4: Simplify right side
    149,906.84x = 19,505,690,151.29
  5. Step 5: Solve for x
    x = 19,505,690,151.29/149,906.84
  6. Step 6: Final answer
    x = 130,118.75

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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.