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Finding the Fourth Proportional to 282,102.44, 388,947.14 and 206,519.72

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Solution

The fourth proportional to 282,102.44, 388,947.14 and 206,519.72 is: 284,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,102.44 : 388,947.14 = 206,519.72 : x
  2. Step 2: Convert to fraction form
    282,102.44/388,947.14 = 206,519.72/x
  3. Step 3: Cross multiply
    282,102.44x = 388,947.14 × 206,519.72
  4. Step 4: Simplify right side
    282,102.44x = 80,325,254,447.60
  5. Step 5: Solve for x
    x = 80,325,254,447.60/282,102.44
  6. Step 6: Final answer
    x = 284,737.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.