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Finding the Fourth Proportional to 204,796.25, 307,246.23 and 57,052.25

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Solution

The fourth proportional to 204,796.25, 307,246.23 and 57,052.25 is: 85,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,796.25 : 307,246.23 = 57,052.25 : x
  2. Step 2: Convert to fraction form
    204,796.25/307,246.23 = 57,052.25/x
  3. Step 3: Cross multiply
    204,796.25x = 307,246.23 × 57,052.25
  4. Step 4: Simplify right side
    204,796.25x = 17,529,088,725.52
  5. Step 5: Solve for x
    x = 17,529,088,725.52/204,796.25
  6. Step 6: Final answer
    x = 85,592.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.