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Finding the Fourth Proportional to 100,138.34, 138,191.20 and 55,426.34

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Solution

The fourth proportional to 100,138.34, 138,191.20 and 55,426.34 is: 76,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138.34 : 138,191.20 = 55,426.34 : x
  2. Step 2: Convert to fraction form
    100,138.34/138,191.20 = 55,426.34/x
  3. Step 3: Cross multiply
    100,138.34x = 138,191.20 × 55,426.34
  4. Step 4: Simplify right side
    100,138.34x = 7,659,432,436.21
  5. Step 5: Solve for x
    x = 7,659,432,436.21/100,138.34
  6. Step 6: Final answer
    x = 76,488.51

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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.