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Finding the Fourth Proportional to 149,564.25, 206,398.67 and 82,496.25

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Solution

The fourth proportional to 149,564.25, 206,398.67 and 82,496.25 is: 113,844.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,564.25 : 206,398.67 = 82,496.25 : x
  2. Step 2: Convert to fraction form
    149,564.25/206,398.67 = 82,496.25/x
  3. Step 3: Cross multiply
    149,564.25x = 206,398.67 × 82,496.25
  4. Step 4: Simplify right side
    149,564.25x = 17,027,115,867.51
  5. Step 5: Solve for x
    x = 17,027,115,867.51/149,564.25
  6. Step 6: Final answer
    x = 113,844.83

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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.