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Finding the Fourth Proportional to 207,856.80, 311,785.20 and 180,823.20

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Solution

The fourth proportional to 207,856.80, 311,785.20 and 180,823.20 is: 271,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,856.80 : 311,785.20 = 180,823.20 : x
  2. Step 2: Convert to fraction form
    207,856.80/311,785.20 = 180,823.20/x
  3. Step 3: Cross multiply
    207,856.80x = 311,785.20 × 180,823.20
  4. Step 4: Simplify right side
    207,856.80x = 56,377,997,576.64
  5. Step 5: Solve for x
    x = 56,377,997,576.64/207,856.80
  6. Step 6: Final answer
    x = 271,234.80

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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.