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Finding the Fourth Proportional to 188,395.44, 259,970.64 and 107,804.48

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Solution

The fourth proportional to 188,395.44, 259,970.64 and 107,804.48 is: 148,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,395.44 : 259,970.64 = 107,804.48 : x
  2. Step 2: Convert to fraction form
    188,395.44/259,970.64 = 107,804.48/x
  3. Step 3: Cross multiply
    188,395.44x = 259,970.64 × 107,804.48
  4. Step 4: Simplify right side
    188,395.44x = 28,025,999,660.47
  5. Step 5: Solve for x
    x = 28,025,999,660.47/188,395.44
  6. Step 6: Final answer
    x = 148,761.56

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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.