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Finding the Fourth Proportional to 204,460.20, 306,690.30 and 56,716.20

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Solution

The fourth proportional to 204,460.20, 306,690.30 and 56,716.20 is: 85,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,460.20 : 306,690.30 = 56,716.20 : x
  2. Step 2: Convert to fraction form
    204,460.20/306,690.30 = 56,716.20/x
  3. Step 3: Cross multiply
    204,460.20x = 306,690.30 × 56,716.20
  4. Step 4: Simplify right side
    204,460.20x = 17,394,308,392.86
  5. Step 5: Solve for x
    x = 17,394,308,392.86/204,460.20
  6. Step 6: Final answer
    x = 85,074.30

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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.