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Finding the Fourth Proportional to 204,838, 307,257.18 and 57,094

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Solution

The fourth proportional to 204,838, 307,257.18 and 57,094 is: 85,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,838 : 307,257.18 = 57,094 : x
  2. Step 2: Convert to fraction form
    204,838/307,257.18 = 57,094/x
  3. Step 3: Cross multiply
    204,838x = 307,257.18 × 57,094
  4. Step 4: Simplify right side
    204,838x = 17,542,541,434.92
  5. Step 5: Solve for x
    x = 17,542,541,434.92/204,838
  6. Step 6: Final answer
    x = 85,641.05

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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.