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Finding the Fourth Proportional to 149,564.68, 206,395.98 and 82,496.68

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Solution

The fourth proportional to 149,564.68, 206,395.98 and 82,496.68 is: 113,843.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,564.68 : 206,395.98 = 82,496.68 : x
  2. Step 2: Convert to fraction form
    149,564.68/206,395.98 = 82,496.68/x
  3. Step 3: Cross multiply
    149,564.68x = 206,395.98 × 82,496.68
  4. Step 4: Simplify right side
    149,564.68x = 17,026,983,115.35
  5. Step 5: Solve for x
    x = 17,026,983,115.35/149,564.68
  6. Step 6: Final answer
    x = 113,843.61

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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.