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Finding the Fourth Proportional to 205,025.28, 307,589.12 and 57,280

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Solution

The fourth proportional to 205,025.28, 307,589.12 and 57,280 is: 85,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,025.28 : 307,589.12 = 57,280 : x
  2. Step 2: Convert to fraction form
    205,025.28/307,589.12 = 57,280/x
  3. Step 3: Cross multiply
    205,025.28x = 307,589.12 × 57,280
  4. Step 4: Simplify right side
    205,025.28x = 17,618,704,793.60
  5. Step 5: Solve for x
    x = 17,618,704,793.60/205,025.28
  6. Step 6: Final answer
    x = 85,934.30

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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.