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Finding the Fourth Proportional to 206,823.20, 310,234.80 and 128,091.20

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Solution

The fourth proportional to 206,823.20, 310,234.80 and 128,091.20 is: 192,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,823.20 : 310,234.80 = 128,091.20 : x
  2. Step 2: Convert to fraction form
    206,823.20/310,234.80 = 128,091.20/x
  3. Step 3: Cross multiply
    206,823.20x = 310,234.80 × 128,091.20
  4. Step 4: Simplify right side
    206,823.20x = 39,738,347,813.76
  5. Step 5: Solve for x
    x = 39,738,347,813.76/206,823.20
  6. Step 6: Final answer
    x = 192,136.80

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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.