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Finding the Fourth Proportional to 361,413.21, 542,146.44 and 95,171.88

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Solution

The fourth proportional to 361,413.21, 542,146.44 and 95,171.88 is: 142,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,413.21 : 542,146.44 = 95,171.88 : x
  2. Step 2: Convert to fraction form
    361,413.21/542,146.44 = 95,171.88/x
  3. Step 3: Cross multiply
    361,413.21x = 542,146.44 × 95,171.88
  4. Step 4: Simplify right side
    361,413.21x = 51,597,095,930.11
  5. Step 5: Solve for x
    x = 51,597,095,930.11/361,413.21
  6. Step 6: Final answer
    x = 142,764.83

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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.