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Finding the Fourth Proportional to 206,821.20, 310,231.80 and 128,089.20

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Solution

The fourth proportional to 206,821.20, 310,231.80 and 128,089.20 is: 192,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821.20 : 310,231.80 = 128,089.20 : x
  2. Step 2: Convert to fraction form
    206,821.20/310,231.80 = 128,089.20/x
  3. Step 3: Cross multiply
    206,821.20x = 310,231.80 × 128,089.20
  4. Step 4: Simplify right side
    206,821.20x = 39,737,343,076.56
  5. Step 5: Solve for x
    x = 39,737,343,076.56/206,821.20
  6. Step 6: Final answer
    x = 192,133.80

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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.