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Finding the Fourth Proportional to 205,288.08, 283,294.70 and 119,295.65

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Solution

The fourth proportional to 205,288.08, 283,294.70 and 119,295.65 is: 164,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,288.08 : 283,294.70 = 119,295.65 : x
  2. Step 2: Convert to fraction form
    205,288.08/283,294.70 = 119,295.65/x
  3. Step 3: Cross multiply
    205,288.08x = 283,294.70 × 119,295.65
  4. Step 4: Simplify right side
    205,288.08x = 33,795,823,961.58
  5. Step 5: Solve for x
    x = 33,795,823,961.58/205,288.08
  6. Step 6: Final answer
    x = 164,626.33

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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.