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Finding the Fourth Proportional to 222,462.66, 306,996.90 and 120,485.82

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Solution

The fourth proportional to 222,462.66, 306,996.90 and 120,485.82 is: 166,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,462.66 : 306,996.90 = 120,485.82 : x
  2. Step 2: Convert to fraction form
    222,462.66/306,996.90 = 120,485.82/x
  3. Step 3: Cross multiply
    222,462.66x = 306,996.90 × 120,485.82
  4. Step 4: Simplify right side
    222,462.66x = 36,988,773,233.96
  5. Step 5: Solve for x
    x = 36,988,773,233.96/222,462.66
  6. Step 6: Final answer
    x = 166,269.58

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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.