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Finding the Fourth Proportional to 206,976.72, 310,504.68 and 66,697.68

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Solution

The fourth proportional to 206,976.72, 310,504.68 and 66,697.68 is: 100,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976.72 : 310,504.68 = 66,697.68 : x
  2. Step 2: Convert to fraction form
    206,976.72/310,504.68 = 66,697.68/x
  3. Step 3: Cross multiply
    206,976.72x = 310,504.68 × 66,697.68
  4. Step 4: Simplify right side
    206,976.72x = 20,709,941,785.14
  5. Step 5: Solve for x
    x = 20,709,941,785.14/206,976.72
  6. Step 6: Final answer
    x = 100,059.28

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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.