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Finding the Fourth Proportional to 188,163.62, 259,656.30 and 111,686.05

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Solution

The fourth proportional to 188,163.62, 259,656.30 and 111,686.05 is: 154,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,163.62 : 259,656.30 = 111,686.05 : x
  2. Step 2: Convert to fraction form
    188,163.62/259,656.30 = 111,686.05/x
  3. Step 3: Cross multiply
    188,163.62x = 259,656.30 × 111,686.05
  4. Step 4: Simplify right side
    188,163.62x = 28,999,985,206.33
  5. Step 5: Solve for x
    x = 28,999,985,206.33/188,163.62
  6. Step 6: Final answer
    x = 154,121.11

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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.