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Finding the Fourth Proportional to 150,874.90, 208,208.77 and 82,893.27

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Solution

The fourth proportional to 150,874.90, 208,208.77 and 82,893.27 is: 114,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,874.90 : 208,208.77 = 82,893.27 : x
  2. Step 2: Convert to fraction form
    150,874.90/208,208.77 = 82,893.27/x
  3. Step 3: Cross multiply
    150,874.90x = 208,208.77 × 82,893.27
  4. Step 4: Simplify right side
    150,874.90x = 17,259,106,361.53
  5. Step 5: Solve for x
    x = 17,259,106,361.53/150,874.90
  6. Step 6: Final answer
    x = 114,393.49

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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.