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Finding the Fourth Proportional to 193,791.96, 290,436.42 and 87,097.08

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Solution

The fourth proportional to 193,791.96, 290,436.42 and 87,097.08 is: 130,532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,791.96 : 290,436.42 = 87,097.08 : x
  2. Step 2: Convert to fraction form
    193,791.96/290,436.42 = 87,097.08/x
  3. Step 3: Cross multiply
    193,791.96x = 290,436.42 × 87,097.08
  4. Step 4: Simplify right side
    193,791.96x = 25,296,164,107.65
  5. Step 5: Solve for x
    x = 25,296,164,107.65/193,791.96
  6. Step 6: Final answer
    x = 130,532.58

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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.