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Finding the Fourth Proportional to 160,085.26, 220,922.09 and 88,469.78

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Solution

The fourth proportional to 160,085.26, 220,922.09 and 88,469.78 is: 122,090.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,085.26 : 220,922.09 = 88,469.78 : x
  2. Step 2: Convert to fraction form
    160,085.26/220,922.09 = 88,469.78/x
  3. Step 3: Cross multiply
    160,085.26x = 220,922.09 × 88,469.78
  4. Step 4: Simplify right side
    160,085.26x = 19,544,928,699.44
  5. Step 5: Solve for x
    x = 19,544,928,699.44/160,085.26
  6. Step 6: Final answer
    x = 122,090.75

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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.