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Finding the Fourth Proportional to 205,311.33, 283,321.67 and 128,871.50

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Solution

The fourth proportional to 205,311.33, 283,321.67 and 128,871.50 is: 177,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,311.33 : 283,321.67 = 128,871.50 : x
  2. Step 2: Convert to fraction form
    205,311.33/283,321.67 = 128,871.50/x
  3. Step 3: Cross multiply
    205,311.33x = 283,321.67 × 128,871.50
  4. Step 4: Simplify right side
    205,311.33x = 36,512,086,534.44
  5. Step 5: Solve for x
    x = 36,512,086,534.44/205,311.33
  6. Step 6: Final answer
    x = 177,837.66

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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.