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Finding the Fourth Proportional to 122,912.52, 184,413.14 and 42,962.33

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Solution

The fourth proportional to 122,912.52, 184,413.14 and 42,962.33 is: 64,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,912.52 : 184,413.14 = 42,962.33 : x
  2. Step 2: Convert to fraction form
    122,912.52/184,413.14 = 42,962.33/x
  3. Step 3: Cross multiply
    122,912.52x = 184,413.14 × 42,962.33
  4. Step 4: Simplify right side
    122,912.52x = 7,922,817,040.14
  5. Step 5: Solve for x
    x = 7,922,817,040.14/122,912.52
  6. Step 6: Final answer
    x = 64,458.99

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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.