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Finding the Fourth Proportional to 206,385.24, 309,592.56 and 71,393.34

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Solution

The fourth proportional to 206,385.24, 309,592.56 and 71,393.34 is: 107,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,385.24 : 309,592.56 = 71,393.34 : x
  2. Step 2: Convert to fraction form
    206,385.24/309,592.56 = 71,393.34/x
  3. Step 3: Cross multiply
    206,385.24x = 309,592.56 × 71,393.34
  4. Step 4: Simplify right side
    206,385.24x = 22,102,846,897.55
  5. Step 5: Solve for x
    x = 22,102,846,897.55/206,385.24
  6. Step 6: Final answer
    x = 107,095.10

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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.