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Finding the Fourth Proportional to 222,463.20, 333,723.60 and 110,200.80

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Solution

The fourth proportional to 222,463.20, 333,723.60 and 110,200.80 is: 165,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,463.20 : 333,723.60 = 110,200.80 : x
  2. Step 2: Convert to fraction form
    222,463.20/333,723.60 = 110,200.80/x
  3. Step 3: Cross multiply
    222,463.20x = 333,723.60 × 110,200.80
  4. Step 4: Simplify right side
    222,463.20x = 36,776,607,698.88
  5. Step 5: Solve for x
    x = 36,776,607,698.88/222,463.20
  6. Step 6: Final answer
    x = 165,315.47

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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.