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Finding the Fourth Proportional to 133,023.40, 199,544.70 and 80,319.40

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Solution

The fourth proportional to 133,023.40, 199,544.70 and 80,319.40 is: 120,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023.40 : 199,544.70 = 80,319.40 : x
  2. Step 2: Convert to fraction form
    133,023.40/199,544.70 = 80,319.40/x
  3. Step 3: Cross multiply
    133,023.40x = 199,544.70 × 80,319.40
  4. Step 4: Simplify right side
    133,023.40x = 16,027,310,577.18
  5. Step 5: Solve for x
    x = 16,027,310,577.18/133,023.40
  6. Step 6: Final answer
    x = 120,484.90

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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.