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Finding the Fourth Proportional to 228,698.20, 343,047.30 and 70,942.60

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Solution

The fourth proportional to 228,698.20, 343,047.30 and 70,942.60 is: 106,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,698.20 : 343,047.30 = 70,942.60 : x
  2. Step 2: Convert to fraction form
    228,698.20/343,047.30 = 70,942.60/x
  3. Step 3: Cross multiply
    228,698.20x = 343,047.30 × 70,942.60
  4. Step 4: Simplify right side
    228,698.20x = 24,336,667,384.98
  5. Step 5: Solve for x
    x = 24,336,667,384.98/228,698.20
  6. Step 6: Final answer
    x = 106,413.90

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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.