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Finding the Fourth Proportional to 204,952.20, 307,428.30 and 189,205.80

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Solution

The fourth proportional to 204,952.20, 307,428.30 and 189,205.80 is: 283,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,952.20 : 307,428.30 = 189,205.80 : x
  2. Step 2: Convert to fraction form
    204,952.20/307,428.30 = 189,205.80/x
  3. Step 3: Cross multiply
    204,952.20x = 307,428.30 × 189,205.80
  4. Step 4: Simplify right side
    204,952.20x = 58,167,217,444.14
  5. Step 5: Solve for x
    x = 58,167,217,444.14/204,952.20
  6. Step 6: Final answer
    x = 283,808.70

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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.