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Finding the Fourth Proportional to 206,938.26, 310,404.26 and 57,175.20

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Solution

The fourth proportional to 206,938.26, 310,404.26 and 57,175.20 is: 85,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,938.26 : 310,404.26 = 57,175.20 : x
  2. Step 2: Convert to fraction form
    206,938.26/310,404.26 = 57,175.20/x
  3. Step 3: Cross multiply
    206,938.26x = 310,404.26 × 57,175.20
  4. Step 4: Simplify right side
    206,938.26x = 17,747,425,646.35
  5. Step 5: Solve for x
    x = 17,747,425,646.35/206,938.26
  6. Step 6: Final answer
    x = 85,761.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.