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Finding the Fourth Proportional to 222,742.70, 334,114.05 and 200,624.30

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Solution

The fourth proportional to 222,742.70, 334,114.05 and 200,624.30 is: 300,936.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,742.70 : 334,114.05 = 200,624.30 : x
  2. Step 2: Convert to fraction form
    222,742.70/334,114.05 = 200,624.30/x
  3. Step 3: Cross multiply
    222,742.70x = 334,114.05 × 200,624.30
  4. Step 4: Simplify right side
    222,742.70x = 67,031,397,401.42
  5. Step 5: Solve for x
    x = 67,031,397,401.42/222,742.70
  6. Step 6: Final answer
    x = 300,936.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.