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Finding the Fourth Proportional to 265,081.85, 397,647.30 and 107,322.60

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Solution

The fourth proportional to 265,081.85, 397,647.30 and 107,322.60 is: 160,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,081.85 : 397,647.30 = 107,322.60 : x
  2. Step 2: Convert to fraction form
    265,081.85/397,647.30 = 107,322.60/x
  3. Step 3: Cross multiply
    265,081.85x = 397,647.30 × 107,322.60
  4. Step 4: Simplify right side
    265,081.85x = 42,676,542,118.98
  5. Step 5: Solve for x
    x = 42,676,542,118.98/265,081.85
  6. Step 6: Final answer
    x = 160,993.83

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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.