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Finding the Fourth Proportional to 196,214.89, 270,828.33 and 115,696.06

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Solution

The fourth proportional to 196,214.89, 270,828.33 and 115,696.06 is: 159,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,214.89 : 270,828.33 = 115,696.06 : x
  2. Step 2: Convert to fraction form
    196,214.89/270,828.33 = 115,696.06/x
  3. Step 3: Cross multiply
    196,214.89x = 270,828.33 × 115,696.06
  4. Step 4: Simplify right side
    196,214.89x = 31,333,770,717.38
  5. Step 5: Solve for x
    x = 31,333,770,717.38/196,214.89
  6. Step 6: Final answer
    x = 159,691.10

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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.