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Finding the Fourth Proportional to 200,860.43, 277,167.21 and 120,285.88

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Solution

The fourth proportional to 200,860.43, 277,167.21 and 120,285.88 is: 165,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,860.43 : 277,167.21 = 120,285.88 : x
  2. Step 2: Convert to fraction form
    200,860.43/277,167.21 = 120,285.88/x
  3. Step 3: Cross multiply
    200,860.43x = 277,167.21 × 120,285.88
  4. Step 4: Simplify right side
    200,860.43x = 33,339,301,657.38
  5. Step 5: Solve for x
    x = 33,339,301,657.38/200,860.43
  6. Step 6: Final answer
    x = 165,982.43

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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.