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Finding the Fourth Proportional to 203,435.20, 305,152.80 and 140,449.60

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Solution

The fourth proportional to 203,435.20, 305,152.80 and 140,449.60 is: 210,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,435.20 : 305,152.80 = 140,449.60 : x
  2. Step 2: Convert to fraction form
    203,435.20/305,152.80 = 140,449.60/x
  3. Step 3: Cross multiply
    203,435.20x = 305,152.80 × 140,449.60
  4. Step 4: Simplify right side
    203,435.20x = 42,858,588,698.88
  5. Step 5: Solve for x
    x = 42,858,588,698.88/203,435.20
  6. Step 6: Final answer
    x = 210,674.40

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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.