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Finding the Fourth Proportional to 221,716.54, 305,968.34 and 121,114.54

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Solution

The fourth proportional to 221,716.54, 305,968.34 and 121,114.54 is: 167,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,716.54 : 305,968.34 = 121,114.54 : x
  2. Step 2: Convert to fraction form
    221,716.54/305,968.34 = 121,114.54/x
  3. Step 3: Cross multiply
    221,716.54x = 305,968.34 × 121,114.54
  4. Step 4: Simplify right side
    221,716.54x = 37,057,214,753.66
  5. Step 5: Solve for x
    x = 37,057,214,753.66/221,716.54
  6. Step 6: Final answer
    x = 167,137.80

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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.