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Finding the Fourth Proportional to 100,139.34, 138,192.57 and 55,427.34

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Solution

The fourth proportional to 100,139.34, 138,192.57 and 55,427.34 is: 76,489.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,139.34 : 138,192.57 = 55,427.34 : x
  2. Step 2: Convert to fraction form
    100,139.34/138,192.57 = 55,427.34/x
  3. Step 3: Cross multiply
    100,139.34x = 138,192.57 × 55,427.34
  4. Step 4: Simplify right side
    100,139.34x = 7,659,646,562.86
  5. Step 5: Solve for x
    x = 7,659,646,562.86/100,139.34
  6. Step 6: Final answer
    x = 76,489.88

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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.