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Finding the Fourth Proportional to 196,902.51, 295,339.49 and 76,936.91

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Solution

The fourth proportional to 196,902.51, 295,339.49 and 76,936.91 is: 115,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,902.51 : 295,339.49 = 76,936.91 : x
  2. Step 2: Convert to fraction form
    196,902.51/295,339.49 = 76,936.91/x
  3. Step 3: Cross multiply
    196,902.51x = 295,339.49 × 76,936.91
  4. Step 4: Simplify right side
    196,902.51x = 22,722,506,405.09
  5. Step 5: Solve for x
    x = 22,722,506,405.09/196,902.51
  6. Step 6: Final answer
    x = 115,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.