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Finding the Fourth Proportional to 206,091, 284,405.58 and 116,667

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Solution

The fourth proportional to 206,091, 284,405.58 and 116,667 is: 161,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,091 : 284,405.58 = 116,667 : x
  2. Step 2: Convert to fraction form
    206,091/284,405.58 = 116,667/x
  3. Step 3: Cross multiply
    206,091x = 284,405.58 × 116,667
  4. Step 4: Simplify right side
    206,091x = 33,180,745,801.86
  5. Step 5: Solve for x
    x = 33,180,745,801.86/206,091
  6. Step 6: Final answer
    x = 161,000.46

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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.