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Finding the Fourth Proportional to 188,228.24, 259,755.48 and 103,350.80

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Solution

The fourth proportional to 188,228.24, 259,755.48 and 103,350.80 is: 142,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,228.24 : 259,755.48 = 103,350.80 : x
  2. Step 2: Convert to fraction form
    188,228.24/259,755.48 = 103,350.80/x
  3. Step 3: Cross multiply
    188,228.24x = 259,755.48 × 103,350.80
  4. Step 4: Simplify right side
    188,228.24x = 26,845,936,662.38
  5. Step 5: Solve for x
    x = 26,845,936,662.38/188,228.24
  6. Step 6: Final answer
    x = 142,624.38

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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.