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Finding the Fourth Proportional to 199,261.40, 298,892.10 and 152,022.20

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Solution

The fourth proportional to 199,261.40, 298,892.10 and 152,022.20 is: 228,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,261.40 : 298,892.10 = 152,022.20 : x
  2. Step 2: Convert to fraction form
    199,261.40/298,892.10 = 152,022.20/x
  3. Step 3: Cross multiply
    199,261.40x = 298,892.10 × 152,022.20
  4. Step 4: Simplify right side
    199,261.40x = 45,438,234,604.62
  5. Step 5: Solve for x
    x = 45,438,234,604.62/199,261.40
  6. Step 6: Final answer
    x = 228,033.30

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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.