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Finding the Fourth Proportional to 208,737.33, 313,537.23 and 199,640.77

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Solution

The fourth proportional to 208,737.33, 313,537.23 and 199,640.77 is: 299,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,737.33 : 313,537.23 = 199,640.77 : x
  2. Step 2: Convert to fraction form
    208,737.33/313,537.23 = 199,640.77/x
  3. Step 3: Cross multiply
    208,737.33x = 313,537.23 × 199,640.77
  4. Step 4: Simplify right side
    208,737.33x = 62,594,813,237.02
  5. Step 5: Solve for x
    x = 62,594,813,237.02/208,737.33
  6. Step 6: Final answer
    x = 299,873.60

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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.