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Finding the Fourth Proportional to 107,918.40, 161,704.80 and 68,404.80

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Solution

The fourth proportional to 107,918.40, 161,704.80 and 68,404.80 is: 102,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,918.40 : 161,704.80 = 68,404.80 : x
  2. Step 2: Convert to fraction form
    107,918.40/161,704.80 = 68,404.80/x
  3. Step 3: Cross multiply
    107,918.40x = 161,704.80 × 68,404.80
  4. Step 4: Simplify right side
    107,918.40x = 11,061,384,503.04
  5. Step 5: Solve for x
    x = 11,061,384,503.04/107,918.40
  6. Step 6: Final answer
    x = 102,497.67

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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.