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Finding the Fourth Proportional to 206,427, 309,692.54 and 58,683

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Solution

The fourth proportional to 206,427, 309,692.54 and 58,683 is: 88,039.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427 : 309,692.54 = 58,683 : x
  2. Step 2: Convert to fraction form
    206,427/309,692.54 = 58,683/x
  3. Step 3: Cross multiply
    206,427x = 309,692.54 × 58,683
  4. Step 4: Simplify right side
    206,427x = 18,173,687,324.82
  5. Step 5: Solve for x
    x = 18,173,687,324.82/206,427
  6. Step 6: Final answer
    x = 88,039.29

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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.