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Finding the Fourth Proportional to 200,594.33, 299,098.13 and 195,083.09

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Solution

The fourth proportional to 200,594.33, 299,098.13 and 195,083.09 is: 290,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,594.33 : 299,098.13 = 195,083.09 : x
  2. Step 2: Convert to fraction form
    200,594.33/299,098.13 = 195,083.09/x
  3. Step 3: Cross multiply
    200,594.33x = 299,098.13 × 195,083.09
  4. Step 4: Simplify right side
    200,594.33x = 58,348,987,413.62
  5. Step 5: Solve for x
    x = 58,348,987,413.62/200,594.33
  6. Step 6: Final answer
    x = 290,880.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.