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Finding the Fourth Proportional to 149,227.74, 223,729.74 and 90,049.50

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Solution

The fourth proportional to 149,227.74, 223,729.74 and 90,049.50 is: 135,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,227.74 : 223,729.74 = 90,049.50 : x
  2. Step 2: Convert to fraction form
    149,227.74/223,729.74 = 90,049.50/x
  3. Step 3: Cross multiply
    149,227.74x = 223,729.74 × 90,049.50
  4. Step 4: Simplify right side
    149,227.74x = 20,146,751,222.13
  5. Step 5: Solve for x
    x = 20,146,751,222.13/149,227.74
  6. Step 6: Final answer
    x = 135,006.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.