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Finding the Fourth Proportional to 201,177.20, 301,676.70 and 68,021.30

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Solution

The fourth proportional to 201,177.20, 301,676.70 and 68,021.30 is: 102,001.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,177.20 : 301,676.70 = 68,021.30 : x
  2. Step 2: Convert to fraction form
    201,177.20/301,676.70 = 68,021.30/x
  3. Step 3: Cross multiply
    201,177.20x = 301,676.70 × 68,021.30
  4. Step 4: Simplify right side
    201,177.20x = 20,520,441,313.71
  5. Step 5: Solve for x
    x = 20,520,441,313.71/201,177.20
  6. Step 6: Final answer
    x = 102,001.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.