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Finding the Fourth Proportional to 161,066, 222,274.02 and 89,452.64

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Solution

The fourth proportional to 161,066, 222,274.02 and 89,452.64 is: 123,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,066 : 222,274.02 = 89,452.64 : x
  2. Step 2: Convert to fraction form
    161,066/222,274.02 = 89,452.64/x
  3. Step 3: Cross multiply
    161,066x = 222,274.02 × 89,452.64
  4. Step 4: Simplify right side
    161,066x = 19,882,997,892.41
  5. Step 5: Solve for x
    x = 19,882,997,892.41/161,066
  6. Step 6: Final answer
    x = 123,446.28

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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.