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Finding the Fourth Proportional to 258,725.16, 356,922.72 and 186,991.56

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Solution

The fourth proportional to 258,725.16, 356,922.72 and 186,991.56 is: 257,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,725.16 : 356,922.72 = 186,991.56 : x
  2. Step 2: Convert to fraction form
    258,725.16/356,922.72 = 186,991.56/x
  3. Step 3: Cross multiply
    258,725.16x = 356,922.72 × 186,991.56
  4. Step 4: Simplify right side
    258,725.16x = 66,741,536,212.24
  5. Step 5: Solve for x
    x = 66,741,536,212.24/258,725.16
  6. Step 6: Final answer
    x = 257,963.07

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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.