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Finding the Fourth Proportional to 206,676.91, 310,015.39 and 64,534.36

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Solution

The fourth proportional to 206,676.91, 310,015.39 and 64,534.36 is: 96,801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,676.91 : 310,015.39 = 64,534.36 : x
  2. Step 2: Convert to fraction form
    206,676.91/310,015.39 = 64,534.36/x
  3. Step 3: Cross multiply
    206,676.91x = 310,015.39 × 64,534.36
  4. Step 4: Simplify right side
    206,676.91x = 20,006,645,198.08
  5. Step 5: Solve for x
    x = 20,006,645,198.08/206,676.91
  6. Step 6: Final answer
    x = 96,801.55

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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.