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Finding the Fourth Proportional to 188,322.40, 259,934.24 and 116,661.76

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Solution

The fourth proportional to 188,322.40, 259,934.24 and 116,661.76 is: 161,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,322.40 : 259,934.24 = 116,661.76 : x
  2. Step 2: Convert to fraction form
    188,322.40/259,934.24 = 116,661.76/x
  3. Step 3: Cross multiply
    188,322.40x = 259,934.24 × 116,661.76
  4. Step 4: Simplify right side
    188,322.40x = 30,324,385,922.66
  5. Step 5: Solve for x
    x = 30,324,385,922.66/188,322.40
  6. Step 6: Final answer
    x = 161,023.79

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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.