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Finding the Fourth Proportional to 257,889.92, 355,943.79 and 196,794.86

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Solution

The fourth proportional to 257,889.92, 355,943.79 and 196,794.86 is: 271,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,889.92 : 355,943.79 = 196,794.86 : x
  2. Step 2: Convert to fraction form
    257,889.92/355,943.79 = 196,794.86/x
  3. Step 3: Cross multiply
    257,889.92x = 355,943.79 × 196,794.86
  4. Step 4: Simplify right side
    257,889.92x = 70,047,906,541.20
  5. Step 5: Solve for x
    x = 70,047,906,541.20/257,889.92
  6. Step 6: Final answer
    x = 271,619.41

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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.