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Finding the Fourth Proportional to 213,454.40, 320,181.59 and 80,364.51

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Solution

The fourth proportional to 213,454.40, 320,181.59 and 80,364.51 is: 120,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,454.40 : 320,181.59 = 80,364.51 : x
  2. Step 2: Convert to fraction form
    213,454.40/320,181.59 = 80,364.51/x
  3. Step 3: Cross multiply
    213,454.40x = 320,181.59 × 80,364.51
  4. Step 4: Simplify right side
    213,454.40x = 25,731,236,189.55
  5. Step 5: Solve for x
    x = 25,731,236,189.55/213,454.40
  6. Step 6: Final answer
    x = 120,546.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.