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Finding the Fourth Proportional to 222,648, 307,255.32 and 133,224

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Solution

The fourth proportional to 222,648, 307,255.32 and 133,224 is: 183,849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,648 : 307,255.32 = 133,224 : x
  2. Step 2: Convert to fraction form
    222,648/307,255.32 = 133,224/x
  3. Step 3: Cross multiply
    222,648x = 307,255.32 × 133,224
  4. Step 4: Simplify right side
    222,648x = 40,933,782,751.68
  5. Step 5: Solve for x
    x = 40,933,782,751.68/222,648
  6. Step 6: Final answer
    x = 183,849.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.