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Finding the Fourth Proportional to 259,951.84, 389,973.83 and 117,791.37

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Solution

The fourth proportional to 259,951.84, 389,973.83 and 117,791.37 is: 176,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,951.84 : 389,973.83 = 117,791.37 : x
  2. Step 2: Convert to fraction form
    259,951.84/389,973.83 = 117,791.37/x
  3. Step 3: Cross multiply
    259,951.84x = 389,973.83 × 117,791.37
  4. Step 4: Simplify right side
    259,951.84x = 45,935,553,235.87
  5. Step 5: Solve for x
    x = 45,935,553,235.87/259,951.84
  6. Step 6: Final answer
    x = 176,707.94

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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.