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Finding the Fourth Proportional to 206,846.60, 309,978.30 and 127,725.80

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Solution

The fourth proportional to 206,846.60, 309,978.30 and 127,725.80 is: 191,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.60 : 309,978.30 = 127,725.80 : x
  2. Step 2: Convert to fraction form
    206,846.60/309,978.30 = 127,725.80/x
  3. Step 3: Cross multiply
    206,846.60x = 309,978.30 × 127,725.80
  4. Step 4: Simplify right side
    206,846.60x = 39,592,226,350.14
  5. Step 5: Solve for x
    x = 39,592,226,350.14/206,846.60
  6. Step 6: Final answer
    x = 191,408.64

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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.