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Finding the Fourth Proportional to 193,893, 290,837.33 and 75,647.39

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Solution

The fourth proportional to 193,893, 290,837.33 and 75,647.39 is: 113,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,893 : 290,837.33 = 75,647.39 : x
  2. Step 2: Convert to fraction form
    193,893/290,837.33 = 75,647.39/x
  3. Step 3: Cross multiply
    193,893x = 290,837.33 × 75,647.39
  4. Step 4: Simplify right side
    193,893x = 22,001,083,096.65
  5. Step 5: Solve for x
    x = 22,001,083,096.65/193,893
  6. Step 6: Final answer
    x = 113,470.23

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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.