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Finding the Fourth Proportional to 203,427.20, 305,140.80 and 140,441.60

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Solution

The fourth proportional to 203,427.20, 305,140.80 and 140,441.60 is: 210,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427.20 : 305,140.80 = 140,441.60 : x
  2. Step 2: Convert to fraction form
    203,427.20/305,140.80 = 140,441.60/x
  3. Step 3: Cross multiply
    203,427.20x = 305,140.80 × 140,441.60
  4. Step 4: Simplify right side
    203,427.20x = 42,854,462,177.28
  5. Step 5: Solve for x
    x = 42,854,462,177.28/203,427.20
  6. Step 6: Final answer
    x = 210,662.40

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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.