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Finding the Fourth Proportional to 222,738.87, 307,378.62 and 120,763.98

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Solution

The fourth proportional to 222,738.87, 307,378.62 and 120,763.98 is: 166,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,738.87 : 307,378.62 = 120,763.98 : x
  2. Step 2: Convert to fraction form
    222,738.87/307,378.62 = 120,763.98/x
  3. Step 3: Cross multiply
    222,738.87x = 307,378.62 × 120,763.98
  4. Step 4: Simplify right side
    222,738.87x = 37,120,265,518.11
  5. Step 5: Solve for x
    x = 37,120,265,518.11/222,738.87
  6. Step 6: Final answer
    x = 166,653.74

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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.