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Finding the Fourth Proportional to 206,392.10, 309,595.06 and 73,282.74

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Solution

The fourth proportional to 206,392.10, 309,595.06 and 73,282.74 is: 109,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,392.10 : 309,595.06 = 73,282.74 : x
  2. Step 2: Convert to fraction form
    206,392.10/309,595.06 = 73,282.74/x
  3. Step 3: Cross multiply
    206,392.10x = 309,595.06 × 73,282.74
  4. Step 4: Simplify right side
    206,392.10x = 22,687,974,287.26
  5. Step 5: Solve for x
    x = 22,687,974,287.26/206,392.10
  6. Step 6: Final answer
    x = 109,926.56

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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.