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Finding the Fourth Proportional to 201,101.97, 301,691.85 and 76,433.25

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Solution

The fourth proportional to 201,101.97, 301,691.85 and 76,433.25 is: 114,664.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,101.97 : 301,691.85 = 76,433.25 : x
  2. Step 2: Convert to fraction form
    201,101.97/301,691.85 = 76,433.25/x
  3. Step 3: Cross multiply
    201,101.97x = 301,691.85 × 76,433.25
  4. Step 4: Simplify right side
    201,101.97x = 23,059,288,594.01
  5. Step 5: Solve for x
    x = 23,059,288,594.01/201,101.97
  6. Step 6: Final answer
    x = 114,664.66

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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.