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Finding the Fourth Proportional to 205,807.30, 284,027.25 and 115,173.70

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Solution

The fourth proportional to 205,807.30, 284,027.25 and 115,173.70 is: 158,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,807.30 : 284,027.25 = 115,173.70 : x
  2. Step 2: Convert to fraction form
    205,807.30/284,027.25 = 115,173.70/x
  3. Step 3: Cross multiply
    205,807.30x = 284,027.25 × 115,173.70
  4. Step 4: Simplify right side
    205,807.30x = 32,712,469,283.33
  5. Step 5: Solve for x
    x = 32,712,469,283.33/205,807.30
  6. Step 6: Final answer
    x = 158,947.08

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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.