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Finding the Fourth Proportional to 100,358.52, 138,380.58 and 82,151.34

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Solution

The fourth proportional to 100,358.52, 138,380.58 and 82,151.34 is: 113,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,358.52 : 138,380.58 = 82,151.34 : x
  2. Step 2: Convert to fraction form
    100,358.52/138,380.58 = 82,151.34/x
  3. Step 3: Cross multiply
    100,358.52x = 138,380.58 × 82,151.34
  4. Step 4: Simplify right side
    100,358.52x = 11,368,150,076.98
  5. Step 5: Solve for x
    x = 11,368,150,076.98/100,358.52
  6. Step 6: Final answer
    x = 113,275.39

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Why These Related Problems?

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