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Finding the Fourth Proportional to 209,770.40, 313,964.40 and 162,768.80

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Solution

The fourth proportional to 209,770.40, 313,964.40 and 162,768.80 is: 243,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,770.40 : 313,964.40 = 162,768.80 : x
  2. Step 2: Convert to fraction form
    209,770.40/313,964.40 = 162,768.80/x
  3. Step 3: Cross multiply
    209,770.40x = 313,964.40 × 162,768.80
  4. Step 4: Simplify right side
    209,770.40x = 51,103,608,630.72
  5. Step 5: Solve for x
    x = 51,103,608,630.72/209,770.40
  6. Step 6: Final answer
    x = 243,616.87

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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.