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Finding the Fourth Proportional to 204,877, 307,367.34 and 57,133

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Solution

The fourth proportional to 204,877, 307,367.34 and 57,133 is: 85,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,877 : 307,367.34 = 57,133 : x
  2. Step 2: Convert to fraction form
    204,877/307,367.34 = 57,133/x
  3. Step 3: Cross multiply
    204,877x = 307,367.34 × 57,133
  4. Step 4: Simplify right side
    204,877x = 17,560,818,236.22
  5. Step 5: Solve for x
    x = 17,560,818,236.22/204,877
  6. Step 6: Final answer
    x = 85,713.96

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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.