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Finding the Fourth Proportional to 188,354, 259,920.84 and 111,884.24

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Solution

The fourth proportional to 188,354, 259,920.84 and 111,884.24 is: 154,395.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,354 : 259,920.84 = 111,884.24 : x
  2. Step 2: Convert to fraction form
    188,354/259,920.84 = 111,884.24/x
  3. Step 3: Cross multiply
    188,354x = 259,920.84 × 111,884.24
  4. Step 4: Simplify right side
    188,354x = 29,081,045,643.56
  5. Step 5: Solve for x
    x = 29,081,045,643.56/188,354
  6. Step 6: Final answer
    x = 154,395.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.