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Finding the Fourth Proportional to 206,764.54, 310,189.85 and 64,604.07

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Solution

The fourth proportional to 206,764.54, 310,189.85 and 64,604.07 is: 96,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,764.54 : 310,189.85 = 64,604.07 : x
  2. Step 2: Convert to fraction form
    206,764.54/310,189.85 = 64,604.07/x
  3. Step 3: Cross multiply
    206,764.54x = 310,189.85 × 64,604.07
  4. Step 4: Simplify right side
    206,764.54x = 20,039,526,782.69
  5. Step 5: Solve for x
    x = 20,039,526,782.69/206,764.54
  6. Step 6: Final answer
    x = 96,919.55

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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.