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Finding the Fourth Proportional to 107,794.25, 161,568.76 and 65,581.29

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Solution

The fourth proportional to 107,794.25, 161,568.76 and 65,581.29 is: 98,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,794.25 : 161,568.76 = 65,581.29 : x
  2. Step 2: Convert to fraction form
    107,794.25/161,568.76 = 65,581.29/x
  3. Step 3: Cross multiply
    107,794.25x = 161,568.76 × 65,581.29
  4. Step 4: Simplify right side
    107,794.25x = 10,595,886,732.70
  5. Step 5: Solve for x
    x = 10,595,886,732.70/107,794.25
  6. Step 6: Final answer
    x = 98,297.33

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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.