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Finding the Fourth Proportional to 222,756.20, 333,986.70 and 122,964.20

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Solution

The fourth proportional to 222,756.20, 333,986.70 and 122,964.20 is: 184,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,756.20 : 333,986.70 = 122,964.20 : x
  2. Step 2: Convert to fraction form
    222,756.20/333,986.70 = 122,964.20/x
  3. Step 3: Cross multiply
    222,756.20x = 333,986.70 × 122,964.20
  4. Step 4: Simplify right side
    222,756.20x = 41,068,407,376.14
  5. Step 5: Solve for x
    x = 41,068,407,376.14/222,756.20
  6. Step 6: Final answer
    x = 184,364.82

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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.