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Finding the Fourth Proportional to 200,793.49, 301,128.81 and 67,638.04

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Solution

The fourth proportional to 200,793.49, 301,128.81 and 67,638.04 is: 101,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,793.49 : 301,128.81 = 67,638.04 : x
  2. Step 2: Convert to fraction form
    200,793.49/301,128.81 = 67,638.04/x
  3. Step 3: Cross multiply
    200,793.49x = 301,128.81 × 67,638.04
  4. Step 4: Simplify right side
    200,793.49x = 20,367,762,495.93
  5. Step 5: Solve for x
    x = 20,367,762,495.93/200,793.49
  6. Step 6: Final answer
    x = 101,436.37

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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.