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Finding the Fourth Proportional to 222,457.58, 306,992.37 and 120,484.25

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Solution

The fourth proportional to 222,457.58, 306,992.37 and 120,484.25 is: 166,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,457.58 : 306,992.37 = 120,484.25 : x
  2. Step 2: Convert to fraction form
    222,457.58/306,992.37 = 120,484.25/x
  3. Step 3: Cross multiply
    222,457.58x = 306,992.37 × 120,484.25
  4. Step 4: Simplify right side
    222,457.58x = 36,987,743,920.21
  5. Step 5: Solve for x
    x = 36,987,743,920.21/222,457.58
  6. Step 6: Final answer
    x = 166,268.75

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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.