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Finding the Fourth Proportional to 282,922.80, 424,571.14 and 133,205.90

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Solution

The fourth proportional to 282,922.80, 424,571.14 and 133,205.90 is: 199,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,922.80 : 424,571.14 = 133,205.90 : x
  2. Step 2: Convert to fraction form
    282,922.80/424,571.14 = 133,205.90/x
  3. Step 3: Cross multiply
    282,922.80x = 424,571.14 × 133,205.90
  4. Step 4: Simplify right side
    282,922.80x = 56,555,380,817.73
  5. Step 5: Solve for x
    x = 56,555,380,817.73/282,922.80
  6. Step 6: Final answer
    x = 199,896.87

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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.