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Finding the Fourth Proportional to 206,132.20, 288,999.80 and 206,132.20

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Solution

The fourth proportional to 206,132.20, 288,999.80 and 206,132.20 is: 288,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,132.20 : 288,999.80 = 206,132.20 : x
  2. Step 2: Convert to fraction form
    206,132.20/288,999.80 = 206,132.20/x
  3. Step 3: Cross multiply
    206,132.20x = 288,999.80 × 206,132.20
  4. Step 4: Simplify right side
    206,132.20x = 59,572,164,573.56
  5. Step 5: Solve for x
    x = 59,572,164,573.56/206,132.20
  6. Step 6: Final answer
    x = 288,999.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.