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Finding the Fourth Proportional to 120,410.37, 166,103.31 and 74,455.32

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Solution

The fourth proportional to 120,410.37, 166,103.31 and 74,455.32 is: 102,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.37 : 166,103.31 = 74,455.32 : x
  2. Step 2: Convert to fraction form
    120,410.37/166,103.31 = 74,455.32/x
  3. Step 3: Cross multiply
    120,410.37x = 166,103.31 × 74,455.32
  4. Step 4: Simplify right side
    120,410.37x = 12,367,275,099.11
  5. Step 5: Solve for x
    x = 12,367,275,099.11/120,410.37
  6. Step 6: Final answer
    x = 102,709.39

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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.