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Finding the Fourth Proportional to 222,211, 333,316.50 and 55,999

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Solution

The fourth proportional to 222,211, 333,316.50 and 55,999 is: 83,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,211 : 333,316.50 = 55,999 : x
  2. Step 2: Convert to fraction form
    222,211/333,316.50 = 55,999/x
  3. Step 3: Cross multiply
    222,211x = 333,316.50 × 55,999
  4. Step 4: Simplify right side
    222,211x = 18,665,390,683.50
  5. Step 5: Solve for x
    x = 18,665,390,683.50/222,211
  6. Step 6: Final answer
    x = 83,998.50

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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.