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Finding the Fourth Proportional to 206,337.98, 284,749.45 and 120,294.57

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Solution

The fourth proportional to 206,337.98, 284,749.45 and 120,294.57 is: 166,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,337.98 : 284,749.45 = 120,294.57 : x
  2. Step 2: Convert to fraction form
    206,337.98/284,749.45 = 120,294.57/x
  3. Step 3: Cross multiply
    206,337.98x = 284,749.45 × 120,294.57
  4. Step 4: Simplify right side
    206,337.98x = 34,253,812,149.17
  5. Step 5: Solve for x
    x = 34,253,812,149.17/206,337.98
  6. Step 6: Final answer
    x = 166,008.27

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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.