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Finding the Fourth Proportional to 177,162.30, 265,748.06 and 50,797.44

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Solution

The fourth proportional to 177,162.30, 265,748.06 and 50,797.44 is: 76,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,162.30 : 265,748.06 = 50,797.44 : x
  2. Step 2: Convert to fraction form
    177,162.30/265,748.06 = 50,797.44/x
  3. Step 3: Cross multiply
    177,162.30x = 265,748.06 × 50,797.44
  4. Step 4: Simplify right side
    177,162.30x = 13,499,321,132.97
  5. Step 5: Solve for x
    x = 13,499,321,132.97/177,162.30
  6. Step 6: Final answer
    x = 76,197.48

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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.