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Finding the Fourth Proportional to 104,165.98, 156,258.19 and 29,286.77

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Solution

The fourth proportional to 104,165.98, 156,258.19 and 29,286.77 is: 43,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,165.98 : 156,258.19 = 29,286.77 : x
  2. Step 2: Convert to fraction form
    104,165.98/156,258.19 = 29,286.77/x
  3. Step 3: Cross multiply
    104,165.98x = 156,258.19 × 29,286.77
  4. Step 4: Simplify right side
    104,165.98x = 4,576,297,979.36
  5. Step 5: Solve for x
    x = 4,576,297,979.36/104,165.98
  6. Step 6: Final answer
    x = 43,932.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.