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Finding the Fourth Proportional to 218,598.24, 301,645.11 and 161,269.48

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Solution

The fourth proportional to 218,598.24, 301,645.11 and 161,269.48 is: 222,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,598.24 : 301,645.11 = 161,269.48 : x
  2. Step 2: Convert to fraction form
    218,598.24/301,645.11 = 161,269.48/x
  3. Step 3: Cross multiply
    218,598.24x = 301,645.11 × 161,269.48
  4. Step 4: Simplify right side
    218,598.24x = 48,646,151,016.06
  5. Step 5: Solve for x
    x = 48,646,151,016.06/218,598.24
  6. Step 6: Final answer
    x = 222,536.79

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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.