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Finding the Fourth Proportional to 116,481.60, 174,571.20 and 54,019.20

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Solution

The fourth proportional to 116,481.60, 174,571.20 and 54,019.20 is: 80,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,481.60 : 174,571.20 = 54,019.20 : x
  2. Step 2: Convert to fraction form
    116,481.60/174,571.20 = 54,019.20/x
  3. Step 3: Cross multiply
    116,481.60x = 174,571.20 × 54,019.20
  4. Step 4: Simplify right side
    116,481.60x = 9,430,196,567.04
  5. Step 5: Solve for x
    x = 9,430,196,567.04/116,481.60
  6. Step 6: Final answer
    x = 80,958.68

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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.