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Finding the Fourth Proportional to 206,483.09, 309,665.09 and 56,728.26

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Solution

The fourth proportional to 206,483.09, 309,665.09 and 56,728.26 is: 85,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,483.09 : 309,665.09 = 56,728.26 : x
  2. Step 2: Convert to fraction form
    206,483.09/309,665.09 = 56,728.26/x
  3. Step 3: Cross multiply
    206,483.09x = 309,665.09 × 56,728.26
  4. Step 4: Simplify right side
    206,483.09x = 17,566,761,880.26
  5. Step 5: Solve for x
    x = 17,566,761,880.26/206,483.09
  6. Step 6: Final answer
    x = 85,076.03

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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.