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Finding the Fourth Proportional to 136,205.20, 204,234.90 and 57,230.20

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Solution

The fourth proportional to 136,205.20, 204,234.90 and 57,230.20 is: 85,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,205.20 : 204,234.90 = 57,230.20 : x
  2. Step 2: Convert to fraction form
    136,205.20/204,234.90 = 57,230.20/x
  3. Step 3: Cross multiply
    136,205.20x = 204,234.90 × 57,230.20
  4. Step 4: Simplify right side
    136,205.20x = 11,688,404,173.98
  5. Step 5: Solve for x
    x = 11,688,404,173.98/136,205.20
  6. Step 6: Final answer
    x = 85,814.67

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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.