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Finding the Fourth Proportional to 224,076.20, 336,114.30 and 205,413.80

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Solution

The fourth proportional to 224,076.20, 336,114.30 and 205,413.80 is: 308,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,076.20 : 336,114.30 = 205,413.80 : x
  2. Step 2: Convert to fraction form
    224,076.20/336,114.30 = 205,413.80/x
  3. Step 3: Cross multiply
    224,076.20x = 336,114.30 × 205,413.80
  4. Step 4: Simplify right side
    224,076.20x = 69,042,515,597.34
  5. Step 5: Solve for x
    x = 69,042,515,597.34/224,076.20
  6. Step 6: Final answer
    x = 308,120.70

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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.