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Finding the Fourth Proportional to 205,893.27, 284,310 and 129,539.66

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Solution

The fourth proportional to 205,893.27, 284,310 and 129,539.66 is: 178,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,893.27 : 284,310 = 129,539.66 : x
  2. Step 2: Convert to fraction form
    205,893.27/284,310 = 129,539.66/x
  3. Step 3: Cross multiply
    205,893.27x = 284,310 × 129,539.66
  4. Step 4: Simplify right side
    205,893.27x = 36,829,419,313.05
  5. Step 5: Solve for x
    x = 36,829,419,313.05/205,893.27
  6. Step 6: Final answer
    x = 178,876.27

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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.