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Finding the Fourth Proportional to 204,085, 306,150.45 and 54,331.12

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Solution

The fourth proportional to 204,085, 306,150.45 and 54,331.12 is: 81,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,085 : 306,150.45 = 54,331.12 : x
  2. Step 2: Convert to fraction form
    204,085/306,150.45 = 54,331.12/x
  3. Step 3: Cross multiply
    204,085x = 306,150.45 × 54,331.12
  4. Step 4: Simplify right side
    204,085x = 16,633,496,837.00
  5. Step 5: Solve for x
    x = 16,633,496,837.00/204,085
  6. Step 6: Final answer
    x = 81,502.79

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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.