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Finding the Fourth Proportional to 301,074.26, 451,611.59 and 76,451.54

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Solution

The fourth proportional to 301,074.26, 451,611.59 and 76,451.54 is: 114,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.26 : 451,611.59 = 76,451.54 : x
  2. Step 2: Convert to fraction form
    301,074.26/451,611.59 = 76,451.54/x
  3. Step 3: Cross multiply
    301,074.26x = 451,611.59 × 76,451.54
  4. Step 4: Simplify right side
    301,074.26x = 34,526,398,897.03
  5. Step 5: Solve for x
    x = 34,526,398,897.03/301,074.26
  6. Step 6: Final answer
    x = 114,677.35

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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.