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Finding the Fourth Proportional to 222,241.21, 306,692.86 and 120,266.67

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Solution

The fourth proportional to 222,241.21, 306,692.86 and 120,266.67 is: 165,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,241.21 : 306,692.86 = 120,266.67 : x
  2. Step 2: Convert to fraction form
    222,241.21/306,692.86 = 120,266.67/x
  3. Step 3: Cross multiply
    222,241.21x = 306,692.86 × 120,266.67
  4. Step 4: Simplify right side
    222,241.21x = 36,884,927,133.94
  5. Step 5: Solve for x
    x = 36,884,927,133.94/222,241.21
  6. Step 6: Final answer
    x = 165,967.99

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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.