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Finding the Fourth Proportional to 161,743, 223,202.34 and 90,121.48

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Solution

The fourth proportional to 161,743, 223,202.34 and 90,121.48 is: 124,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,743 : 223,202.34 = 90,121.48 : x
  2. Step 2: Convert to fraction form
    161,743/223,202.34 = 90,121.48/x
  3. Step 3: Cross multiply
    161,743x = 223,202.34 × 90,121.48
  4. Step 4: Simplify right side
    161,743x = 20,115,325,220.26
  5. Step 5: Solve for x
    x = 20,115,325,220.26/161,743
  6. Step 6: Final answer
    x = 124,365.97

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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.