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Finding the Fourth Proportional to 206,285.28, 309,428.19 and 56,526.90

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Solution

The fourth proportional to 206,285.28, 309,428.19 and 56,526.90 is: 84,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,285.28 : 309,428.19 = 56,526.90 : x
  2. Step 2: Convert to fraction form
    206,285.28/309,428.19 = 56,526.90/x
  3. Step 3: Cross multiply
    206,285.28x = 309,428.19 × 56,526.90
  4. Step 4: Simplify right side
    206,285.28x = 17,491,016,353.31
  5. Step 5: Solve for x
    x = 17,491,016,353.31/206,285.28
  6. Step 6: Final answer
    x = 84,790.42

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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.