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Finding the Fourth Proportional to 149,067.84, 205,722 and 85,416.24

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Solution

The fourth proportional to 149,067.84, 205,722 and 85,416.24 is: 117,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,067.84 : 205,722 = 85,416.24 : x
  2. Step 2: Convert to fraction form
    149,067.84/205,722 = 85,416.24/x
  3. Step 3: Cross multiply
    149,067.84x = 205,722 × 85,416.24
  4. Step 4: Simplify right side
    149,067.84x = 17,571,999,725.28
  5. Step 5: Solve for x
    x = 17,571,999,725.28/149,067.84
  6. Step 6: Final answer
    x = 117,879.21

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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.