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Finding the Fourth Proportional to 221,028.75, 305,019.68 and 120,426.75

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Solution

The fourth proportional to 221,028.75, 305,019.68 and 120,426.75 is: 166,188.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,028.75 : 305,019.68 = 120,426.75 : x
  2. Step 2: Convert to fraction form
    221,028.75/305,019.68 = 120,426.75/x
  3. Step 3: Cross multiply
    221,028.75x = 305,019.68 × 120,426.75
  4. Step 4: Simplify right side
    221,028.75x = 36,732,528,146.31
  5. Step 5: Solve for x
    x = 36,732,528,146.31/221,028.75
  6. Step 6: Final answer
    x = 166,188.92

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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.