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Finding the Fourth Proportional to 200,791.34, 301,124.11 and 72,691.46

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Solution

The fourth proportional to 200,791.34, 301,124.11 and 72,691.46 is: 109,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,791.34 : 301,124.11 = 72,691.46 : x
  2. Step 2: Convert to fraction form
    200,791.34/301,124.11 = 72,691.46/x
  3. Step 3: Cross multiply
    200,791.34x = 301,124.11 × 72,691.46
  4. Step 4: Simplify right side
    200,791.34x = 21,889,151,197.10
  5. Step 5: Solve for x
    x = 21,889,151,197.10/200,791.34
  6. Step 6: Final answer
    x = 109,014.42

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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.