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Finding the Fourth Proportional to 201,271.65, 301,890.06 and 68,148.96

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Solution

The fourth proportional to 201,271.65, 301,890.06 and 68,148.96 is: 102,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,271.65 : 301,890.06 = 68,148.96 : x
  2. Step 2: Convert to fraction form
    201,271.65/301,890.06 = 68,148.96/x
  3. Step 3: Cross multiply
    201,271.65x = 301,890.06 × 68,148.96
  4. Step 4: Simplify right side
    201,271.65x = 20,573,493,623.34
  5. Step 5: Solve for x
    x = 20,573,493,623.34/201,271.65
  6. Step 6: Final answer
    x = 102,217.54

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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.