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Finding the Fourth Proportional to 204,189.28, 306,298.50 and 54,428.79

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Solution

The fourth proportional to 204,189.28, 306,298.50 and 54,428.79 is: 81,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,189.28 : 306,298.50 = 54,428.79 : x
  2. Step 2: Convert to fraction form
    204,189.28/306,298.50 = 54,428.79/x
  3. Step 3: Cross multiply
    204,189.28x = 306,298.50 × 54,428.79
  4. Step 4: Simplify right side
    204,189.28x = 16,671,455,202.32
  5. Step 5: Solve for x
    x = 16,671,455,202.32/204,189.28
  6. Step 6: Final answer
    x = 81,647.06

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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.