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Finding the Fourth Proportional to 282,015.99, 422,982.36 and 82,282.77

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Solution

The fourth proportional to 282,015.99, 422,982.36 and 82,282.77 is: 123,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,015.99 : 422,982.36 = 82,282.77 : x
  2. Step 2: Convert to fraction form
    282,015.99/422,982.36 = 82,282.77/x
  3. Step 3: Cross multiply
    282,015.99x = 422,982.36 × 82,282.77
  4. Step 4: Simplify right side
    282,015.99x = 34,804,160,241.94
  5. Step 5: Solve for x
    x = 34,804,160,241.94/282,015.99
  6. Step 6: Final answer
    x = 123,412.01

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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.