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Finding the Fourth Proportional to 196,453.51, 271,138.46 and 115,900.83

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Solution

The fourth proportional to 196,453.51, 271,138.46 and 115,900.83 is: 159,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,453.51 : 271,138.46 = 115,900.83 : x
  2. Step 2: Convert to fraction form
    196,453.51/271,138.46 = 115,900.83/x
  3. Step 3: Cross multiply
    196,453.51x = 271,138.46 × 115,900.83
  4. Step 4: Simplify right side
    196,453.51x = 31,425,171,979.42
  5. Step 5: Solve for x
    x = 31,425,171,979.42/196,453.51
  6. Step 6: Final answer
    x = 159,962.39

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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.