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Finding the Fourth Proportional to 201,610.45, 302,415.68 and 164,285.65

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Solution

The fourth proportional to 201,610.45, 302,415.68 and 164,285.65 is: 246,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,610.45 : 302,415.68 = 164,285.65 : x
  2. Step 2: Convert to fraction form
    201,610.45/302,415.68 = 164,285.65/x
  3. Step 3: Cross multiply
    201,610.45x = 302,415.68 × 164,285.65
  4. Step 4: Simplify right side
    201,610.45x = 49,682,556,558.99
  5. Step 5: Solve for x
    x = 49,682,556,558.99/201,610.45
  6. Step 6: Final answer
    x = 246,428.48

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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.