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Finding the Fourth Proportional to 201,342.30, 302,207.85 and 122,610.30

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Solution

The fourth proportional to 201,342.30, 302,207.85 and 122,610.30 is: 184,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,342.30 : 302,207.85 = 122,610.30 : x
  2. Step 2: Convert to fraction form
    201,342.30/302,207.85 = 122,610.30/x
  3. Step 3: Cross multiply
    201,342.30x = 302,207.85 × 122,610.30
  4. Step 4: Simplify right side
    201,342.30x = 37,053,795,150.86
  5. Step 5: Solve for x
    x = 37,053,795,150.86/201,342.30
  6. Step 6: Final answer
    x = 184,033.83

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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.