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Finding the Fourth Proportional to 115,967.20, 173,749.20 and 53,509.60

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Solution

The fourth proportional to 115,967.20, 173,749.20 and 53,509.60 is: 80,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,967.20 : 173,749.20 = 53,509.60 : x
  2. Step 2: Convert to fraction form
    115,967.20/173,749.20 = 53,509.60/x
  3. Step 3: Cross multiply
    115,967.20x = 173,749.20 × 53,509.60
  4. Step 4: Simplify right side
    115,967.20x = 9,297,250,192.32
  5. Step 5: Solve for x
    x = 9,297,250,192.32/115,967.20
  6. Step 6: Final answer
    x = 80,171.38

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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.