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Finding the Fourth Proportional to 206,785.34, 310,008.51 and 73,589.75

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Solution

The fourth proportional to 206,785.34, 310,008.51 and 73,589.75 is: 110,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,785.34 : 310,008.51 = 73,589.75 : x
  2. Step 2: Convert to fraction form
    206,785.34/310,008.51 = 73,589.75/x
  3. Step 3: Cross multiply
    206,785.34x = 310,008.51 × 73,589.75
  4. Step 4: Simplify right side
    206,785.34x = 22,813,446,830.78
  5. Step 5: Solve for x
    x = 22,813,446,830.78/206,785.34
  6. Step 6: Final answer
    x = 110,324.30

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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.