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Finding the Fourth Proportional to 222,336.55, 306,824.10 and 120,361.51

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Solution

The fourth proportional to 222,336.55, 306,824.10 and 120,361.51 is: 166,098.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,336.55 : 306,824.10 = 120,361.51 : x
  2. Step 2: Convert to fraction form
    222,336.55/306,824.10 = 120,361.51/x
  3. Step 3: Cross multiply
    222,336.55x = 306,824.10 × 120,361.51
  4. Step 4: Simplify right side
    222,336.55x = 36,929,811,980.39
  5. Step 5: Solve for x
    x = 36,929,811,980.39/222,336.55
  6. Step 6: Final answer
    x = 166,098.70

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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.