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Finding the Fourth Proportional to 118,964.14, 164,171.32 and 65,249.53

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Solution

The fourth proportional to 118,964.14, 164,171.32 and 65,249.53 is: 90,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,964.14 : 164,171.32 = 65,249.53 : x
  2. Step 2: Convert to fraction form
    118,964.14/164,171.32 = 65,249.53/x
  3. Step 3: Cross multiply
    118,964.14x = 164,171.32 × 65,249.53
  4. Step 4: Simplify right side
    118,964.14x = 10,712,101,469.48
  5. Step 5: Solve for x
    x = 10,712,101,469.48/118,964.14
  6. Step 6: Final answer
    x = 90,044.79

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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.