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Finding the Fourth Proportional to 182,509.67, 273,742.94 and 56,149.67

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Solution

The fourth proportional to 182,509.67, 273,742.94 and 56,149.67 is: 84,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,509.67 : 273,742.94 = 56,149.67 : x
  2. Step 2: Convert to fraction form
    182,509.67/273,742.94 = 56,149.67/x
  3. Step 3: Cross multiply
    182,509.67x = 273,742.94 × 56,149.67
  4. Step 4: Simplify right side
    182,509.67x = 15,370,576,570.56
  5. Step 5: Solve for x
    x = 15,370,576,570.56/182,509.67
  6. Step 6: Final answer
    x = 84,217.87

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Why These Related Problems?

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