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Finding the Fourth Proportional to 257,037.44, 354,872.46 and 165,194

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Solution

The fourth proportional to 257,037.44, 354,872.46 and 165,194 is: 228,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,037.44 : 354,872.46 = 165,194 : x
  2. Step 2: Convert to fraction form
    257,037.44/354,872.46 = 165,194/x
  3. Step 3: Cross multiply
    257,037.44x = 354,872.46 × 165,194
  4. Step 4: Simplify right side
    257,037.44x = 58,622,801,157.24
  5. Step 5: Solve for x
    x = 58,622,801,157.24/257,037.44
  6. Step 6: Final answer
    x = 228,071.06

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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.