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Finding the Fourth Proportional to 100,500.40, 138,694.26 and 55,177.98

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Solution

The fourth proportional to 100,500.40, 138,694.26 and 55,177.98 is: 76,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,500.40 : 138,694.26 = 55,177.98 : x
  2. Step 2: Convert to fraction form
    100,500.40/138,694.26 = 55,177.98/x
  3. Step 3: Cross multiply
    100,500.40x = 138,694.26 × 55,177.98
  4. Step 4: Simplify right side
    100,500.40x = 7,652,869,104.39
  5. Step 5: Solve for x
    x = 7,652,869,104.39/100,500.40
  6. Step 6: Final answer
    x = 76,147.65

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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.