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Finding the Fourth Proportional to 215,670, 323,147.24 and 131,174.48

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Solution

The fourth proportional to 215,670, 323,147.24 and 131,174.48 is: 196,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,670 : 323,147.24 = 131,174.48 : x
  2. Step 2: Convert to fraction form
    215,670/323,147.24 = 131,174.48/x
  3. Step 3: Cross multiply
    215,670x = 323,147.24 × 131,174.48
  4. Step 4: Simplify right side
    215,670x = 42,388,671,170.44
  5. Step 5: Solve for x
    x = 42,388,671,170.44/215,670
  6. Step 6: Final answer
    x = 196,544.12

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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.