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Finding the Fourth Proportional to 205,769.41, 308,709.59 and 85,786.49

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Solution

The fourth proportional to 205,769.41, 308,709.59 and 85,786.49 is: 128,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,769.41 : 308,709.59 = 85,786.49 : x
  2. Step 2: Convert to fraction form
    205,769.41/308,709.59 = 85,786.49/x
  3. Step 3: Cross multiply
    205,769.41x = 308,709.59 × 85,786.49
  4. Step 4: Simplify right side
    205,769.41x = 26,483,112,155.44
  5. Step 5: Solve for x
    x = 26,483,112,155.44/205,769.41
  6. Step 6: Final answer
    x = 128,702.86

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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.