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Finding the Fourth Proportional to 196,467.94, 271,125.76 and 107,043.94

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Solution

The fourth proportional to 196,467.94, 271,125.76 and 107,043.94 is: 147,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,467.94 : 271,125.76 = 107,043.94 : x
  2. Step 2: Convert to fraction form
    196,467.94/271,125.76 = 107,043.94/x
  3. Step 3: Cross multiply
    196,467.94x = 271,125.76 × 107,043.94
  4. Step 4: Simplify right side
    196,467.94x = 29,022,368,640.47
  5. Step 5: Solve for x
    x = 29,022,368,640.47/196,467.94
  6. Step 6: Final answer
    x = 147,720.64

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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.