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Finding the Fourth Proportional to 197,343, 296,150.58 and 171,021.24

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Solution

The fourth proportional to 197,343, 296,150.58 and 171,021.24 is: 256,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,343 : 296,150.58 = 171,021.24 : x
  2. Step 2: Convert to fraction form
    197,343/296,150.58 = 171,021.24/x
  3. Step 3: Cross multiply
    197,343x = 296,150.58 × 171,021.24
  4. Step 4: Simplify right side
    197,343x = 50,648,039,418.32
  5. Step 5: Solve for x
    x = 50,648,039,418.32/197,343
  6. Step 6: Final answer
    x = 256,649.79

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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.