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Finding the Fourth Proportional to 223,413.21, 335,288.30 and 118,255.77

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Solution

The fourth proportional to 223,413.21, 335,288.30 and 118,255.77 is: 177,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,413.21 : 335,288.30 = 118,255.77 : x
  2. Step 2: Convert to fraction form
    223,413.21/335,288.30 = 118,255.77/x
  3. Step 3: Cross multiply
    223,413.21x = 335,288.30 × 118,255.77
  4. Step 4: Simplify right side
    223,413.21x = 39,649,775,497.21
  5. Step 5: Solve for x
    x = 39,649,775,497.21/223,413.21
  6. Step 6: Final answer
    x = 177,472.83

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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.