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Finding the Fourth Proportional to 206,386.44, 284,692.39 and 129,784.33

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Solution

The fourth proportional to 206,386.44, 284,692.39 and 129,784.33 is: 179,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,386.44 : 284,692.39 = 129,784.33 : x
  2. Step 2: Convert to fraction form
    206,386.44/284,692.39 = 129,784.33/x
  3. Step 3: Cross multiply
    206,386.44x = 284,692.39 × 129,784.33
  4. Step 4: Simplify right side
    206,386.44x = 36,948,611,092.25
  5. Step 5: Solve for x
    x = 36,948,611,092.25/206,386.44
  6. Step 6: Final answer
    x = 179,026.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.