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Finding the Fourth Proportional to 116,469.44, 174,745.16 and 57,346.64

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Solution

The fourth proportional to 116,469.44, 174,745.16 and 57,346.64 is: 86,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,469.44 : 174,745.16 = 57,346.64 : x
  2. Step 2: Convert to fraction form
    116,469.44/174,745.16 = 57,346.64/x
  3. Step 3: Cross multiply
    116,469.44x = 174,745.16 × 57,346.64
  4. Step 4: Simplify right side
    116,469.44x = 10,021,046,621.80
  5. Step 5: Solve for x
    x = 10,021,046,621.80/116,469.44
  6. Step 6: Final answer
    x = 86,040.14

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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.