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Finding the Fourth Proportional to 206,138.52, 284,413.14 and 125,568.36

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Solution

The fourth proportional to 206,138.52, 284,413.14 and 125,568.36 is: 173,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,138.52 : 284,413.14 = 125,568.36 : x
  2. Step 2: Convert to fraction form
    206,138.52/284,413.14 = 125,568.36/x
  3. Step 3: Cross multiply
    206,138.52x = 284,413.14 × 125,568.36
  4. Step 4: Simplify right side
    206,138.52x = 35,713,291,552.25
  5. Step 5: Solve for x
    x = 35,713,291,552.25/206,138.52
  6. Step 6: Final answer
    x = 173,249.00

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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.