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Finding the Fourth Proportional to 228,408.24, 343,004.40 and 140,179.80

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Solution

The fourth proportional to 228,408.24, 343,004.40 and 140,179.80 is: 210,510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,408.24 : 343,004.40 = 140,179.80 : x
  2. Step 2: Convert to fraction form
    228,408.24/343,004.40 = 140,179.80/x
  3. Step 3: Cross multiply
    228,408.24x = 343,004.40 × 140,179.80
  4. Step 4: Simplify right side
    228,408.24x = 48,082,288,191.12
  5. Step 5: Solve for x
    x = 48,082,288,191.12/228,408.24
  6. Step 6: Final answer
    x = 210,510.30

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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.