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Finding the Fourth Proportional to 206,114.55, 288,793.65 and 206,114.55

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Solution

The fourth proportional to 206,114.55, 288,793.65 and 206,114.55 is: 288,793.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,114.55 : 288,793.65 = 206,114.55 : x
  2. Step 2: Convert to fraction form
    206,114.55/288,793.65 = 206,114.55/x
  3. Step 3: Cross multiply
    206,114.55x = 288,793.65 × 206,114.55
  4. Step 4: Simplify right side
    206,114.55x = 59,524,573,212.61
  5. Step 5: Solve for x
    x = 59,524,573,212.61/206,114.55
  6. Step 6: Final answer
    x = 288,793.65

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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.