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Finding the Fourth Proportional to 207,963.70, 311,945.55 and 206,214.10

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Solution

The fourth proportional to 207,963.70, 311,945.55 and 206,214.10 is: 309,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,963.70 : 311,945.55 = 206,214.10 : x
  2. Step 2: Convert to fraction form
    207,963.70/311,945.55 = 206,214.10/x
  3. Step 3: Cross multiply
    207,963.70x = 311,945.55 × 206,214.10
  4. Step 4: Simplify right side
    207,963.70x = 64,327,570,842.26
  5. Step 5: Solve for x
    x = 64,327,570,842.26/207,963.70
  6. Step 6: Final answer
    x = 309,321.15

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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.