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Finding the Fourth Proportional to 222,409.96, 306,914.02 and 121,805.80

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Solution

The fourth proportional to 222,409.96, 306,914.02 and 121,805.80 is: 168,085.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,409.96 : 306,914.02 = 121,805.80 : x
  2. Step 2: Convert to fraction form
    222,409.96/306,914.02 = 121,805.80/x
  3. Step 3: Cross multiply
    222,409.96x = 306,914.02 × 121,805.80
  4. Step 4: Simplify right side
    222,409.96x = 37,383,907,737.32
  5. Step 5: Solve for x
    x = 37,383,907,737.32/222,409.96
  6. Step 6: Final answer
    x = 168,085.58

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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.