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Finding the Fourth Proportional to 177,796.14, 245,243.07 and 114,032.94

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Solution

The fourth proportional to 177,796.14, 245,243.07 and 114,032.94 is: 157,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,796.14 : 245,243.07 = 114,032.94 : x
  2. Step 2: Convert to fraction form
    177,796.14/245,243.07 = 114,032.94/x
  3. Step 3: Cross multiply
    177,796.14x = 245,243.07 × 114,032.94
  4. Step 4: Simplify right side
    177,796.14x = 27,965,788,286.73
  5. Step 5: Solve for x
    x = 27,965,788,286.73/177,796.14
  6. Step 6: Final answer
    x = 157,291.31

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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.