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Finding the Fourth Proportional to 202,814.46, 304,227.90 and 69,692.82

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Solution

The fourth proportional to 202,814.46, 304,227.90 and 69,692.82 is: 104,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,814.46 : 304,227.90 = 69,692.82 : x
  2. Step 2: Convert to fraction form
    202,814.46/304,227.90 = 69,692.82/x
  3. Step 3: Cross multiply
    202,814.46x = 304,227.90 × 69,692.82
  4. Step 4: Simplify right side
    202,814.46x = 21,202,500,273.68
  5. Step 5: Solve for x
    x = 21,202,500,273.68/202,814.46
  6. Step 6: Final answer
    x = 104,541.36

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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.