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Finding the Fourth Proportional to 180,997.80, 271,602.54 and 75,807.96

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Solution

The fourth proportional to 180,997.80, 271,602.54 and 75,807.96 is: 113,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,997.80 : 271,602.54 = 75,807.96 : x
  2. Step 2: Convert to fraction form
    180,997.80/271,602.54 = 75,807.96/x
  3. Step 3: Cross multiply
    180,997.80x = 271,602.54 × 75,807.96
  4. Step 4: Simplify right side
    180,997.80x = 20,589,634,488.22
  5. Step 5: Solve for x
    x = 20,589,634,488.22/180,997.80
  6. Step 6: Final answer
    x = 113,756.27

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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.