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Finding the Fourth Proportional to 222,177.95, 306,604.74 and 120,203.09

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Solution

The fourth proportional to 222,177.95, 306,604.74 and 120,203.09 is: 165,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,177.95 : 306,604.74 = 120,203.09 : x
  2. Step 2: Convert to fraction form
    222,177.95/306,604.74 = 120,203.09/x
  3. Step 3: Cross multiply
    222,177.95x = 306,604.74 × 120,203.09
  4. Step 4: Simplify right side
    222,177.95x = 36,854,837,224.15
  5. Step 5: Solve for x
    x = 36,854,837,224.15/222,177.95
  6. Step 6: Final answer
    x = 165,879.81

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