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Finding the Fourth Proportional to 120,782.75, 166,695.57 and 73,036.44

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Solution

The fourth proportional to 120,782.75, 166,695.57 and 73,036.44 is: 100,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782.75 : 166,695.57 = 73,036.44 : x
  2. Step 2: Convert to fraction form
    120,782.75/166,695.57 = 73,036.44/x
  3. Step 3: Cross multiply
    120,782.75x = 166,695.57 × 73,036.44
  4. Step 4: Simplify right side
    120,782.75x = 12,174,849,797.91
  5. Step 5: Solve for x
    x = 12,174,849,797.91/120,782.75
  6. Step 6: Final answer
    x = 100,799.58

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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.