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Finding the Fourth Proportional to 206,397, 284,832.18 and 116,973

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Solution

The fourth proportional to 206,397, 284,832.18 and 116,973 is: 161,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397 : 284,832.18 = 116,973 : x
  2. Step 2: Convert to fraction form
    206,397/284,832.18 = 116,973/x
  3. Step 3: Cross multiply
    206,397x = 284,832.18 × 116,973
  4. Step 4: Simplify right side
    206,397x = 33,317,674,591.14
  5. Step 5: Solve for x
    x = 33,317,674,591.14/206,397
  6. Step 6: Final answer
    x = 161,425.19

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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.