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Finding the Fourth Proportional to 100,178.43, 138,246.46 and 54,238.56

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Solution

The fourth proportional to 100,178.43, 138,246.46 and 54,238.56 is: 74,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.43 : 138,246.46 = 54,238.56 : x
  2. Step 2: Convert to fraction form
    100,178.43/138,246.46 = 54,238.56/x
  3. Step 3: Cross multiply
    100,178.43x = 138,246.46 × 54,238.56
  4. Step 4: Simplify right side
    100,178.43x = 7,498,289,115.39
  5. Step 5: Solve for x
    x = 7,498,289,115.39/100,178.43
  6. Step 6: Final answer
    x = 74,849.34

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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.