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Finding the Fourth Proportional to 206,051.60, 309,000.60 and 81,366.80

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Solution

The fourth proportional to 206,051.60, 309,000.60 and 81,366.80 is: 122,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,051.60 : 309,000.60 = 81,366.80 : x
  2. Step 2: Convert to fraction form
    206,051.60/309,000.60 = 81,366.80/x
  3. Step 3: Cross multiply
    206,051.60x = 309,000.60 × 81,366.80
  4. Step 4: Simplify right side
    206,051.60x = 25,142,390,020.08
  5. Step 5: Solve for x
    x = 25,142,390,020.08/206,051.60
  6. Step 6: Final answer
    x = 122,019.87

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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.