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Finding the Fourth Proportional to 206,031.40, 308,816.70 and 87,682.60

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Solution

The fourth proportional to 206,031.40, 308,816.70 and 87,682.60 is: 131,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,031.40 : 308,816.70 = 87,682.60 : x
  2. Step 2: Convert to fraction form
    206,031.40/308,816.70 = 87,682.60/x
  3. Step 3: Cross multiply
    206,031.40x = 308,816.70 × 87,682.60
  4. Step 4: Simplify right side
    206,031.40x = 27,077,851,179.42
  5. Step 5: Solve for x
    x = 27,077,851,179.42/206,031.40
  6. Step 6: Final answer
    x = 131,425.85

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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.