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Finding the Fourth Proportional to 196,463.94, 271,152.99 and 115,911.42

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Solution

The fourth proportional to 196,463.94, 271,152.99 and 115,911.42 is: 159,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,463.94 : 271,152.99 = 115,911.42 : x
  2. Step 2: Convert to fraction form
    196,463.94/271,152.99 = 115,911.42/x
  3. Step 3: Cross multiply
    196,463.94x = 271,152.99 × 115,911.42
  4. Step 4: Simplify right side
    196,463.94x = 31,429,728,108.15
  5. Step 5: Solve for x
    x = 31,429,728,108.15/196,463.94
  6. Step 6: Final answer
    x = 159,977.08

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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.