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Finding the Fourth Proportional to 265,156.26, 397,575.75 and 179,871.92

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Solution

The fourth proportional to 265,156.26, 397,575.75 and 179,871.92 is: 269,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,156.26 : 397,575.75 = 179,871.92 : x
  2. Step 2: Convert to fraction form
    265,156.26/397,575.75 = 179,871.92/x
  3. Step 3: Cross multiply
    265,156.26x = 397,575.75 × 179,871.92
  4. Step 4: Simplify right side
    265,156.26x = 71,512,713,497.94
  5. Step 5: Solve for x
    x = 71,512,713,497.94/265,156.26
  6. Step 6: Final answer
    x = 269,700.26

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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.