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Finding the Fourth Proportional to 206,812.35, 288,946.80 and 206,812.35

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Solution

The fourth proportional to 206,812.35, 288,946.80 and 206,812.35 is: 288,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.35 : 288,946.80 = 206,812.35 : x
  2. Step 2: Convert to fraction form
    206,812.35/288,946.80 = 206,812.35/x
  3. Step 3: Cross multiply
    206,812.35x = 288,946.80 × 206,812.35
  4. Step 4: Simplify right side
    206,812.35x = 59,757,766,732.98
  5. Step 5: Solve for x
    x = 59,757,766,732.98/206,812.35
  6. Step 6: Final answer
    x = 288,946.80

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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.