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Finding the Fourth Proportional to 205,817.50, 308,638.68 and 126,910.54

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Solution

The fourth proportional to 205,817.50, 308,638.68 and 126,910.54 is: 190,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,817.50 : 308,638.68 = 126,910.54 : x
  2. Step 2: Convert to fraction form
    205,817.50/308,638.68 = 126,910.54/x
  3. Step 3: Cross multiply
    205,817.50x = 308,638.68 × 126,910.54
  4. Step 4: Simplify right side
    205,817.50x = 39,169,501,543.69
  5. Step 5: Solve for x
    x = 39,169,501,543.69/205,817.50
  6. Step 6: Final answer
    x = 190,311.81

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