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Finding the Fourth Proportional to 160,984.20, 219,311.76 and 160,984.20

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Solution

The fourth proportional to 160,984.20, 219,311.76 and 160,984.20 is: 219,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,984.20 : 219,311.76 = 160,984.20 : x
  2. Step 2: Convert to fraction form
    160,984.20/219,311.76 = 160,984.20/x
  3. Step 3: Cross multiply
    160,984.20x = 219,311.76 × 160,984.20
  4. Step 4: Simplify right side
    160,984.20x = 35,305,728,234.19
  5. Step 5: Solve for x
    x = 35,305,728,234.19/160,984.20
  6. Step 6: Final answer
    x = 219,311.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.