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Finding the Fourth Proportional to 117,831.42, 177,042.39 and 110,745.54

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Solution

The fourth proportional to 117,831.42, 177,042.39 and 110,745.54 is: 166,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,831.42 : 177,042.39 = 110,745.54 : x
  2. Step 2: Convert to fraction form
    117,831.42/177,042.39 = 110,745.54/x
  3. Step 3: Cross multiply
    117,831.42x = 177,042.39 × 110,745.54
  4. Step 4: Simplify right side
    117,831.42x = 19,606,655,083.44
  5. Step 5: Solve for x
    x = 19,606,655,083.44/117,831.42
  6. Step 6: Final answer
    x = 166,395.81

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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.