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Finding the Fourth Proportional to 264,067.57, 364,413.42 and 143,208.82

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Solution

The fourth proportional to 264,067.57, 364,413.42 and 143,208.82 is: 197,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,067.57 : 364,413.42 = 143,208.82 : x
  2. Step 2: Convert to fraction form
    264,067.57/364,413.42 = 143,208.82/x
  3. Step 3: Cross multiply
    264,067.57x = 364,413.42 × 143,208.82
  4. Step 4: Simplify right side
    264,067.57x = 52,187,215,870.36
  5. Step 5: Solve for x
    x = 52,187,215,870.36/264,067.57
  6. Step 6: Final answer
    x = 197,628.27

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1.5x scale

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.