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Finding the Fourth Proportional to 217,861.76, 327,072.50 and 167,973.54

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Solution

The fourth proportional to 217,861.76, 327,072.50 and 167,973.54 is: 252,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,861.76 : 327,072.50 = 167,973.54 : x
  2. Step 2: Convert to fraction form
    217,861.76/327,072.50 = 167,973.54/x
  3. Step 3: Cross multiply
    217,861.76x = 327,072.50 × 167,973.54
  4. Step 4: Simplify right side
    217,861.76x = 54,939,525,661.65
  5. Step 5: Solve for x
    x = 54,939,525,661.65/217,861.76
  6. Step 6: Final answer
    x = 252,176.08

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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.