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Finding the Fourth Proportional to 134,076.88, 200,959.80 and 107,811.28

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Solution

The fourth proportional to 134,076.88, 200,959.80 and 107,811.28 is: 161,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,076.88 : 200,959.80 = 107,811.28 : x
  2. Step 2: Convert to fraction form
    134,076.88/200,959.80 = 107,811.28/x
  3. Step 3: Cross multiply
    134,076.88x = 200,959.80 × 107,811.28
  4. Step 4: Simplify right side
    134,076.88x = 21,665,733,266.54
  5. Step 5: Solve for x
    x = 21,665,733,266.54/134,076.88
  6. Step 6: Final answer
    x = 161,591.87

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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.