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Finding the Fourth Proportional to 206,592.56, 309,848.04 and 56,794.20

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Solution

The fourth proportional to 206,592.56, 309,848.04 and 56,794.20 is: 85,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592.56 : 309,848.04 = 56,794.20 : x
  2. Step 2: Convert to fraction form
    206,592.56/309,848.04 = 56,794.20/x
  3. Step 3: Cross multiply
    206,592.56x = 309,848.04 × 56,794.20
  4. Step 4: Simplify right side
    206,592.56x = 17,597,571,553.37
  5. Step 5: Solve for x
    x = 17,597,571,553.37/206,592.56
  6. Step 6: Final answer
    x = 85,180.08

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1.5x scale

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.