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Finding the Fourth Proportional to 222,421.55, 306,942.56 and 120,447.05

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Solution

The fourth proportional to 222,421.55, 306,942.56 and 120,447.05 is: 166,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,421.55 : 306,942.56 = 120,447.05 : x
  2. Step 2: Convert to fraction form
    222,421.55/306,942.56 = 120,447.05/x
  3. Step 3: Cross multiply
    222,421.55x = 306,942.56 × 120,447.05
  4. Step 4: Simplify right side
    222,421.55x = 36,970,326,590.24
  5. Step 5: Solve for x
    x = 36,970,326,590.24/222,421.55
  6. Step 6: Final answer
    x = 166,217.38

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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.