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Finding the Fourth Proportional to 231,891.56, 349,416.86 and 190,694.42

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Solution

The fourth proportional to 231,891.56, 349,416.86 and 190,694.42 is: 287,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,891.56 : 349,416.86 = 190,694.42 : x
  2. Step 2: Convert to fraction form
    231,891.56/349,416.86 = 190,694.42/x
  3. Step 3: Cross multiply
    231,891.56x = 349,416.86 × 190,694.42
  4. Step 4: Simplify right side
    231,891.56x = 66,631,845,455.92
  5. Step 5: Solve for x
    x = 66,631,845,455.92/231,891.56
  6. Step 6: Final answer
    x = 287,340.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.