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Finding the Fourth Proportional to 205,896.36, 284,127.30 and 116,455.08

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Solution

The fourth proportional to 205,896.36, 284,127.30 and 116,455.08 is: 160,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.36 : 284,127.30 = 116,455.08 : x
  2. Step 2: Convert to fraction form
    205,896.36/284,127.30 = 116,455.08/x
  3. Step 3: Cross multiply
    205,896.36x = 284,127.30 × 116,455.08
  4. Step 4: Simplify right side
    205,896.36x = 33,088,067,451.68
  5. Step 5: Solve for x
    x = 33,088,067,451.68/205,896.36
  6. Step 6: Final answer
    x = 160,702.54

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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.