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Finding the Fourth Proportional to 165,067.94, 227,794.71 and 97,087.79

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Solution

The fourth proportional to 165,067.94, 227,794.71 and 97,087.79 is: 133,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,067.94 : 227,794.71 = 97,087.79 : x
  2. Step 2: Convert to fraction form
    165,067.94/227,794.71 = 97,087.79/x
  3. Step 3: Cross multiply
    165,067.94x = 227,794.71 × 97,087.79
  4. Step 4: Simplify right side
    165,067.94x = 22,116,084,967.59
  5. Step 5: Solve for x
    x = 22,116,084,967.59/165,067.94
  6. Step 6: Final answer
    x = 133,981.71

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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.