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Finding the Fourth Proportional to 222,427.98, 306,950.78 and 120,454.24

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Solution

The fourth proportional to 222,427.98, 306,950.78 and 120,454.24 is: 166,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,427.98 : 306,950.78 = 120,454.24 : x
  2. Step 2: Convert to fraction form
    222,427.98/306,950.78 = 120,454.24/x
  3. Step 3: Cross multiply
    222,427.98x = 306,950.78 × 120,454.24
  4. Step 4: Simplify right side
    222,427.98x = 36,973,522,922.31
  5. Step 5: Solve for x
    x = 36,973,522,922.31/222,427.98
  6. Step 6: Final answer
    x = 166,226.94

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1.5x scale

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.