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Finding the Fourth Proportional to 193,794.72, 290,806.56 and 105,046.08

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Solution

The fourth proportional to 193,794.72, 290,806.56 and 105,046.08 is: 157,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,794.72 : 290,806.56 = 105,046.08 : x
  2. Step 2: Convert to fraction form
    193,794.72/290,806.56 = 105,046.08/x
  3. Step 3: Cross multiply
    193,794.72x = 290,806.56 × 105,046.08
  4. Step 4: Simplify right side
    193,794.72x = 30,548,089,166.28
  5. Step 5: Solve for x
    x = 30,548,089,166.28/193,794.72
  6. Step 6: Final answer
    x = 157,631.17

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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.