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Finding the Fourth Proportional to 201,413.73, 301,913.23 and 107,894.37

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Solution

The fourth proportional to 201,413.73, 301,913.23 and 107,894.37 is: 161,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,413.73 : 301,913.23 = 107,894.37 : x
  2. Step 2: Convert to fraction form
    201,413.73/301,913.23 = 107,894.37/x
  3. Step 3: Cross multiply
    201,413.73x = 301,913.23 × 107,894.37
  4. Step 4: Simplify right side
    201,413.73x = 32,574,737,745.52
  5. Step 5: Solve for x
    x = 32,574,737,745.52/201,413.73
  6. Step 6: Final answer
    x = 161,730.47

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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.