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Finding the Fourth Proportional to 196,483.26, 271,146.90 and 107,059.26

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Solution

The fourth proportional to 196,483.26, 271,146.90 and 107,059.26 is: 147,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,483.26 : 271,146.90 = 107,059.26 : x
  2. Step 2: Convert to fraction form
    196,483.26/271,146.90 = 107,059.26/x
  3. Step 3: Cross multiply
    196,483.26x = 271,146.90 × 107,059.26
  4. Step 4: Simplify right side
    196,483.26x = 29,028,786,465.29
  5. Step 5: Solve for x
    x = 29,028,786,465.29/196,483.26
  6. Step 6: Final answer
    x = 147,741.78

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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.