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Finding the Fourth Proportional to 221,145.75, 305,181.27 and 120,543.75

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Solution

The fourth proportional to 221,145.75, 305,181.27 and 120,543.75 is: 166,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,145.75 : 305,181.27 = 120,543.75 : x
  2. Step 2: Convert to fraction form
    221,145.75/305,181.27 = 120,543.75/x
  3. Step 3: Cross multiply
    221,145.75x = 305,181.27 × 120,543.75
  4. Step 4: Simplify right side
    221,145.75x = 36,787,694,715.56
  5. Step 5: Solve for x
    x = 36,787,694,715.56/221,145.75
  6. Step 6: Final answer
    x = 166,350.45

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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.