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Finding the Fourth Proportional to 188,382.96, 259,853.16 and 111,850.16

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Solution

The fourth proportional to 188,382.96, 259,853.16 and 111,850.16 is: 154,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,382.96 : 259,853.16 = 111,850.16 : x
  2. Step 2: Convert to fraction form
    188,382.96/259,853.16 = 111,850.16/x
  3. Step 3: Cross multiply
    188,382.96x = 259,853.16 × 111,850.16
  4. Step 4: Simplify right side
    188,382.96x = 29,064,617,522.51
  5. Step 5: Solve for x
    x = 29,064,617,522.51/188,382.96
  6. Step 6: Final answer
    x = 154,284.75

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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.