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Finding the Fourth Proportional to 231,879.36, 319,984.38 and 131,277.36

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Solution

The fourth proportional to 231,879.36, 319,984.38 and 131,277.36 is: 181,157.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,879.36 : 319,984.38 = 131,277.36 : x
  2. Step 2: Convert to fraction form
    231,879.36/319,984.38 = 131,277.36/x
  3. Step 3: Cross multiply
    231,879.36x = 319,984.38 × 131,277.36
  4. Step 4: Simplify right side
    231,879.36x = 42,006,704,647.64
  5. Step 5: Solve for x
    x = 42,006,704,647.64/231,879.36
  6. Step 6: Final answer
    x = 181,157.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.