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Finding the Fourth Proportional to 173,286.97, 259,960.01 and 77,259.03

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Solution

The fourth proportional to 173,286.97, 259,960.01 and 77,259.03 is: 115,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,286.97 : 259,960.01 = 77,259.03 : x
  2. Step 2: Convert to fraction form
    173,286.97/259,960.01 = 77,259.03/x
  3. Step 3: Cross multiply
    173,286.97x = 259,960.01 × 77,259.03
  4. Step 4: Simplify right side
    173,286.97x = 20,084,256,911.59
  5. Step 5: Solve for x
    x = 20,084,256,911.59/173,286.97
  6. Step 6: Final answer
    x = 115,901.71

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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.