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Finding the Fourth Proportional to 263,978.70, 364,097.03 and 173,301.58

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Solution

The fourth proportional to 263,978.70, 364,097.03 and 173,301.58 is: 239,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,978.70 : 364,097.03 = 173,301.58 : x
  2. Step 2: Convert to fraction form
    263,978.70/364,097.03 = 173,301.58/x
  3. Step 3: Cross multiply
    263,978.70x = 364,097.03 × 173,301.58
  4. Step 4: Simplify right side
    263,978.70x = 63,098,588,112.88
  5. Step 5: Solve for x
    x = 63,098,588,112.88/263,978.70
  6. Step 6: Final answer
    x = 239,029.09

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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.