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Finding the Fourth Proportional to 101,537.40, 152,198.10 and 48,912.60

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Solution

The fourth proportional to 101,537.40, 152,198.10 and 48,912.60 is: 73,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,537.40 : 152,198.10 = 48,912.60 : x
  2. Step 2: Convert to fraction form
    101,537.40/152,198.10 = 48,912.60/x
  3. Step 3: Cross multiply
    101,537.40x = 152,198.10 × 48,912.60
  4. Step 4: Simplify right side
    101,537.40x = 7,444,404,786.06
  5. Step 5: Solve for x
    x = 7,444,404,786.06/101,537.40
  6. Step 6: Final answer
    x = 73,316.87

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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.