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Finding the Fourth Proportional to 196,411.64, 271,083.38 and 115,834.46

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Solution

The fourth proportional to 196,411.64, 271,083.38 and 115,834.46 is: 159,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,411.64 : 271,083.38 = 115,834.46 : x
  2. Step 2: Convert to fraction form
    196,411.64/271,083.38 = 115,834.46/x
  3. Step 3: Cross multiply
    196,411.64x = 271,083.38 × 115,834.46
  4. Step 4: Simplify right side
    196,411.64x = 31,400,796,937.27
  5. Step 5: Solve for x
    x = 31,400,796,937.27/196,411.64
  6. Step 6: Final answer
    x = 159,872.38

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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.