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Finding the Fourth Proportional to 100,179.54, 150,324.66 and 55,831.28

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Solution

The fourth proportional to 100,179.54, 150,324.66 and 55,831.28 is: 83,777.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,179.54 : 150,324.66 = 55,831.28 : x
  2. Step 2: Convert to fraction form
    100,179.54/150,324.66 = 55,831.28/x
  3. Step 3: Cross multiply
    100,179.54x = 150,324.66 × 55,831.28
  4. Step 4: Simplify right side
    100,179.54x = 8,392,817,431.74
  5. Step 5: Solve for x
    x = 8,392,817,431.74/100,179.54
  6. Step 6: Final answer
    x = 83,777.76

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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.