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Finding the Fourth Proportional to 204,420.20, 306,812.55 and 120,074.90

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Solution

The fourth proportional to 204,420.20, 306,812.55 and 120,074.90 is: 180,219.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,420.20 : 306,812.55 = 120,074.90 : x
  2. Step 2: Convert to fraction form
    204,420.20/306,812.55 = 120,074.90/x
  3. Step 3: Cross multiply
    204,420.20x = 306,812.55 × 120,074.90
  4. Step 4: Simplify right side
    204,420.20x = 36,840,486,260.00
  5. Step 5: Solve for x
    x = 36,840,486,260.00/204,420.20
  6. Step 6: Final answer
    x = 180,219.40

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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.