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Finding the Fourth Proportional to 206,454.34, 309,712.29 and 73,323.42

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Solution

The fourth proportional to 206,454.34, 309,712.29 and 73,323.42 is: 109,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,454.34 : 309,712.29 = 73,323.42 : x
  2. Step 2: Convert to fraction form
    206,454.34/309,712.29 = 73,323.42/x
  3. Step 3: Cross multiply
    206,454.34x = 309,712.29 × 73,323.42
  4. Step 4: Simplify right side
    206,454.34x = 22,709,164,318.83
  5. Step 5: Solve for x
    x = 22,709,164,318.83/206,454.34
  6. Step 6: Final answer
    x = 109,996.06

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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.