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Finding the Fourth Proportional to 188,343.86, 259,799.38 and 111,811

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Solution

The fourth proportional to 188,343.86, 259,799.38 and 111,811 is: 154,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,343.86 : 259,799.38 = 111,811 : x
  2. Step 2: Convert to fraction form
    188,343.86/259,799.38 = 111,811/x
  3. Step 3: Cross multiply
    188,343.86x = 259,799.38 × 111,811
  4. Step 4: Simplify right side
    188,343.86x = 29,048,428,477.18
  5. Step 5: Solve for x
    x = 29,048,428,477.18/188,343.86
  6. Step 6: Final answer
    x = 154,230.82

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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.