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Finding the Fourth Proportional to 193,883.78, 290,981.19 and 100,416.26

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Solution

The fourth proportional to 193,883.78, 290,981.19 and 100,416.26 is: 150,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,883.78 : 290,981.19 = 100,416.26 : x
  2. Step 2: Convert to fraction form
    193,883.78/290,981.19 = 100,416.26/x
  3. Step 3: Cross multiply
    193,883.78x = 290,981.19 × 100,416.26
  4. Step 4: Simplify right side
    193,883.78x = 29,219,242,830.15
  5. Step 5: Solve for x
    x = 29,219,242,830.15/193,883.78
  6. Step 6: Final answer
    x = 150,704.94

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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.