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Finding the Fourth Proportional to 149,624.68, 224,534.22 and 137,610.76

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Solution

The fourth proportional to 149,624.68, 224,534.22 and 137,610.76 is: 206,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,624.68 : 224,534.22 = 137,610.76 : x
  2. Step 2: Convert to fraction form
    149,624.68/224,534.22 = 137,610.76/x
  3. Step 3: Cross multiply
    149,624.68x = 224,534.22 × 137,610.76
  4. Step 4: Simplify right side
    149,624.68x = 30,898,324,660.21
  5. Step 5: Solve for x
    x = 30,898,324,660.21/149,624.68
  6. Step 6: Final answer
    x = 206,505.54

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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.