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Finding the Fourth Proportional to 258,936.80, 388,246.80 and 100,983.20

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Solution

The fourth proportional to 258,936.80, 388,246.80 and 100,983.20 is: 151,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,936.80 : 388,246.80 = 100,983.20 : x
  2. Step 2: Convert to fraction form
    258,936.80/388,246.80 = 100,983.20/x
  3. Step 3: Cross multiply
    258,936.80x = 388,246.80 × 100,983.20
  4. Step 4: Simplify right side
    258,936.80x = 39,206,404,253.76
  5. Step 5: Solve for x
    x = 39,206,404,253.76/258,936.80
  6. Step 6: Final answer
    x = 151,413.03

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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.