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Finding the Fourth Proportional to 222,750, 307,269.25 and 132,016.84

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Solution

The fourth proportional to 222,750, 307,269.25 and 132,016.84 is: 182,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,750 : 307,269.25 = 132,016.84 : x
  2. Step 2: Convert to fraction form
    222,750/307,269.25 = 132,016.84/x
  3. Step 3: Cross multiply
    222,750x = 307,269.25 × 132,016.84
  4. Step 4: Simplify right side
    222,750x = 40,564,714,315.95
  5. Step 5: Solve for x
    x = 40,564,714,315.95/222,750
  6. Step 6: Final answer
    x = 182,108.71

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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.