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Finding the Fourth Proportional to 117,180, 175,799.97 and 34,074

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Solution

The fourth proportional to 117,180, 175,799.97 and 34,074 is: 51,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,180 : 175,799.97 = 34,074 : x
  2. Step 2: Convert to fraction form
    117,180/175,799.97 = 34,074/x
  3. Step 3: Cross multiply
    117,180x = 175,799.97 × 34,074
  4. Step 4: Simplify right side
    117,180x = 5,990,208,177.78
  5. Step 5: Solve for x
    x = 5,990,208,177.78/117,180
  6. Step 6: Final answer
    x = 51,119.71

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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.