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Finding the Fourth Proportional to 204,005.80, 306,008.70 and 189,260.20

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Solution

The fourth proportional to 204,005.80, 306,008.70 and 189,260.20 is: 283,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,005.80 : 306,008.70 = 189,260.20 : x
  2. Step 2: Convert to fraction form
    204,005.80/306,008.70 = 189,260.20/x
  3. Step 3: Cross multiply
    204,005.80x = 306,008.70 × 189,260.20
  4. Step 4: Simplify right side
    204,005.80x = 57,915,267,763.74
  5. Step 5: Solve for x
    x = 57,915,267,763.74/204,005.80
  6. Step 6: Final answer
    x = 283,890.30

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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.