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Finding the Fourth Proportional to 201,027.86, 301,495.72 and 119,997.76

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Solution

The fourth proportional to 201,027.86, 301,495.72 and 119,997.76 is: 179,969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,027.86 : 301,495.72 = 119,997.76 : x
  2. Step 2: Convert to fraction form
    201,027.86/301,495.72 = 119,997.76/x
  3. Step 3: Cross multiply
    201,027.86x = 301,495.72 × 119,997.76
  4. Step 4: Simplify right side
    201,027.86x = 36,178,811,049.59
  5. Step 5: Solve for x
    x = 36,178,811,049.59/201,027.86
  6. Step 6: Final answer
    x = 179,969.14

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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.