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Finding the Fourth Proportional to 222,242.84, 306,692.76 and 120,266.07

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Solution

The fourth proportional to 222,242.84, 306,692.76 and 120,266.07 is: 165,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,242.84 : 306,692.76 = 120,266.07 : x
  2. Step 2: Convert to fraction form
    222,242.84/306,692.76 = 120,266.07/x
  3. Step 3: Cross multiply
    222,242.84x = 306,692.76 × 120,266.07
  4. Step 4: Simplify right side
    222,242.84x = 36,884,732,243.55
  5. Step 5: Solve for x
    x = 36,884,732,243.55/222,242.84
  6. Step 6: Final answer
    x = 165,965.90

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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.