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Finding the Fourth Proportional to 266,266.84, 367,446.38 and 145,408.14

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Solution

The fourth proportional to 266,266.84, 367,446.38 and 145,408.14 is: 200,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,266.84 : 367,446.38 = 145,408.14 : x
  2. Step 2: Convert to fraction form
    266,266.84/367,446.38 = 145,408.14/x
  3. Step 3: Cross multiply
    266,266.84x = 367,446.38 × 145,408.14
  4. Step 4: Simplify right side
    266,266.84x = 53,429,694,665.53
  5. Step 5: Solve for x
    x = 53,429,694,665.53/266,266.84
  6. Step 6: Final answer
    x = 200,662.22

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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.