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Finding the Fourth Proportional to 103,634.85, 155,452.28 and 71,978.03

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Solution

The fourth proportional to 103,634.85, 155,452.28 and 71,978.03 is: 107,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.85 : 155,452.28 = 71,978.03 : x
  2. Step 2: Convert to fraction form
    103,634.85/155,452.28 = 71,978.03/x
  3. Step 3: Cross multiply
    103,634.85x = 155,452.28 × 71,978.03
  4. Step 4: Simplify right side
    103,634.85x = 11,189,147,736.26
  5. Step 5: Solve for x
    x = 11,189,147,736.26/103,634.85
  6. Step 6: Final answer
    x = 107,967.04

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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.