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Finding the Fourth Proportional to 137,596.06, 206,413.22 and 48,828.46

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Solution

The fourth proportional to 137,596.06, 206,413.22 and 48,828.46 is: 73,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,596.06 : 206,413.22 = 48,828.46 : x
  2. Step 2: Convert to fraction form
    137,596.06/206,413.22 = 48,828.46/x
  3. Step 3: Cross multiply
    137,596.06x = 206,413.22 × 48,828.46
  4. Step 4: Simplify right side
    137,596.06x = 10,078,839,656.24
  5. Step 5: Solve for x
    x = 10,078,839,656.24/137,596.06
  6. Step 6: Final answer
    x = 73,249.48

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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.