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Finding the Fourth Proportional to 282,016.99, 422,983.86 and 82,283.77

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Solution

The fourth proportional to 282,016.99, 422,983.86 and 82,283.77 is: 123,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,016.99 : 422,983.86 = 82,283.77 : x
  2. Step 2: Convert to fraction form
    282,016.99/422,983.86 = 82,283.77/x
  3. Step 3: Cross multiply
    282,016.99x = 422,983.86 × 82,283.77
  4. Step 4: Simplify right side
    282,016.99x = 34,804,706,649.95
  5. Step 5: Solve for x
    x = 34,804,706,649.95/282,016.99
  6. Step 6: Final answer
    x = 123,413.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.