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Finding the Fourth Proportional to 138,602.20, 191,267.46 and 82,031.80

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Solution

The fourth proportional to 138,602.20, 191,267.46 and 82,031.80 is: 113,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,602.20 : 191,267.46 = 82,031.80 : x
  2. Step 2: Convert to fraction form
    138,602.20/191,267.46 = 82,031.80/x
  3. Step 3: Cross multiply
    138,602.20x = 191,267.46 × 82,031.80
  4. Step 4: Simplify right side
    138,602.20x = 15,690,014,025.23
  5. Step 5: Solve for x
    x = 15,690,014,025.23/138,602.20
  6. Step 6: Final answer
    x = 113,201.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.