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Finding the Fourth Proportional to 200,354.73, 300,684.44 and 74,114.37

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Solution

The fourth proportional to 200,354.73, 300,684.44 and 74,114.37 is: 111,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,354.73 : 300,684.44 = 74,114.37 : x
  2. Step 2: Convert to fraction form
    200,354.73/300,684.44 = 74,114.37/x
  3. Step 3: Cross multiply
    200,354.73x = 300,684.44 × 74,114.37
  4. Step 4: Simplify right side
    200,354.73x = 22,285,037,468.83
  5. Step 5: Solve for x
    x = 22,285,037,468.83/200,354.73
  6. Step 6: Final answer
    x = 111,227.91

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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.