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Finding the Fourth Proportional to 222,205, 333,307.50 and 55,993

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Solution

The fourth proportional to 222,205, 333,307.50 and 55,993 is: 83,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,205 : 333,307.50 = 55,993 : x
  2. Step 2: Convert to fraction form
    222,205/333,307.50 = 55,993/x
  3. Step 3: Cross multiply
    222,205x = 333,307.50 × 55,993
  4. Step 4: Simplify right side
    222,205x = 18,662,886,847.50
  5. Step 5: Solve for x
    x = 18,662,886,847.50/222,205
  6. Step 6: Final answer
    x = 83,989.50

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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.