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Finding the Fourth Proportional to 203,200.20, 304,508.70 and 149,472.90

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Solution

The fourth proportional to 203,200.20, 304,508.70 and 149,472.90 is: 223,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.20 : 304,508.70 = 149,472.90 : x
  2. Step 2: Convert to fraction form
    203,200.20/304,508.70 = 149,472.90/x
  3. Step 3: Cross multiply
    203,200.20x = 304,508.70 × 149,472.90
  4. Step 4: Simplify right side
    203,200.20x = 45,515,798,464.23
  5. Step 5: Solve for x
    x = 45,515,798,464.23/203,200.20
  6. Step 6: Final answer
    x = 223,994.85

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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.