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Finding the Fourth Proportional to 210,380.24, 315,662.84 and 110,517.24

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Solution

The fourth proportional to 210,380.24, 315,662.84 and 110,517.24 is: 165,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,380.24 : 315,662.84 = 110,517.24 : x
  2. Step 2: Convert to fraction form
    210,380.24/315,662.84 = 110,517.24/x
  3. Step 3: Cross multiply
    210,380.24x = 315,662.84 × 110,517.24
  4. Step 4: Simplify right side
    210,380.24x = 34,886,185,847.36
  5. Step 5: Solve for x
    x = 34,886,185,847.36/210,380.24
  6. Step 6: Final answer
    x = 165,824.44

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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.