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Finding the Fourth Proportional to 206,599.44, 309,796.74 and 73,459.68

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Solution

The fourth proportional to 206,599.44, 309,796.74 and 73,459.68 is: 110,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.44 : 309,796.74 = 73,459.68 : x
  2. Step 2: Convert to fraction form
    206,599.44/309,796.74 = 73,459.68/x
  3. Step 3: Cross multiply
    206,599.44x = 309,796.74 × 73,459.68
  4. Step 4: Simplify right side
    206,599.44x = 22,757,569,385.44
  5. Step 5: Solve for x
    x = 22,757,569,385.44/206,599.44
  6. Step 6: Final answer
    x = 110,153.10

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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.