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Finding the Fourth Proportional to 222,242.44, 306,692.40 and 120,265.72

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Solution

The fourth proportional to 222,242.44, 306,692.40 and 120,265.72 is: 165,965.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,242.44 : 306,692.40 = 120,265.72 : x
  2. Step 2: Convert to fraction form
    222,242.44/306,692.40 = 120,265.72/x
  3. Step 3: Cross multiply
    222,242.44x = 306,692.40 × 120,265.72
  4. Step 4: Simplify right side
    222,242.44x = 36,884,582,304.53
  5. Step 5: Solve for x
    x = 36,884,582,304.53/222,242.44
  6. Step 6: Final answer
    x = 165,965.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.