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Finding the Fourth Proportional to 188,010.16, 281,949.54 and 75,661.22

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Solution

The fourth proportional to 188,010.16, 281,949.54 and 75,661.22 is: 113,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,010.16 : 281,949.54 = 75,661.22 : x
  2. Step 2: Convert to fraction form
    188,010.16/281,949.54 = 75,661.22/x
  3. Step 3: Cross multiply
    188,010.16x = 281,949.54 × 75,661.22
  4. Step 4: Simplify right side
    188,010.16x = 21,332,646,174.84
  5. Step 5: Solve for x
    x = 21,332,646,174.84/188,010.16
  6. Step 6: Final answer
    x = 113,465.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.