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Finding the Fourth Proportional to 177,797.64, 245,245.14 and 114,034.44

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Solution

The fourth proportional to 177,797.64, 245,245.14 and 114,034.44 is: 157,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,797.64 : 245,245.14 = 114,034.44 : x
  2. Step 2: Convert to fraction form
    177,797.64/245,245.14 = 114,034.44/x
  3. Step 3: Cross multiply
    177,797.64x = 245,245.14 × 114,034.44
  4. Step 4: Simplify right side
    177,797.64x = 27,966,392,202.62
  5. Step 5: Solve for x
    x = 27,966,392,202.62/177,797.64
  6. Step 6: Final answer
    x = 157,293.38

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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.