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Finding the Fourth Proportional to 206,076.07, 309,158.54 and 63,918.53

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Solution

The fourth proportional to 206,076.07, 309,158.54 and 63,918.53 is: 95,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076.07 : 309,158.54 = 63,918.53 : x
  2. Step 2: Convert to fraction form
    206,076.07/309,158.54 = 63,918.53/x
  3. Step 3: Cross multiply
    206,076.07x = 309,158.54 × 63,918.53
  4. Step 4: Simplify right side
    206,076.07x = 19,760,959,413.75
  5. Step 5: Solve for x
    x = 19,760,959,413.75/206,076.07
  6. Step 6: Final answer
    x = 95,891.58

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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.