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Finding the Fourth Proportional to 203,504.68, 305,180.34 and 85,184.20

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Solution

The fourth proportional to 203,504.68, 305,180.34 and 85,184.20 is: 127,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,504.68 : 305,180.34 = 85,184.20 : x
  2. Step 2: Convert to fraction form
    203,504.68/305,180.34 = 85,184.20/x
  3. Step 3: Cross multiply
    203,504.68x = 305,180.34 × 85,184.20
  4. Step 4: Simplify right side
    203,504.68x = 25,996,543,118.63
  5. Step 5: Solve for x
    x = 25,996,543,118.63/203,504.68
  6. Step 6: Final answer
    x = 127,744.20

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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.