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Finding the Fourth Proportional to 269,271.78, 371,593.20 and 148,413.14

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Solution

The fourth proportional to 269,271.78, 371,593.20 and 148,413.14 is: 204,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,271.78 : 371,593.20 = 148,413.14 : x
  2. Step 2: Convert to fraction form
    269,271.78/371,593.20 = 148,413.14/x
  3. Step 3: Cross multiply
    269,271.78x = 371,593.20 × 148,413.14
  4. Step 4: Simplify right side
    269,271.78x = 55,149,313,614.65
  5. Step 5: Solve for x
    x = 55,149,313,614.65/269,271.78
  6. Step 6: Final answer
    x = 204,809.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.