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Finding the Fourth Proportional to 206,813.30, 310,249.10 and 73,654.16

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Solution

The fourth proportional to 206,813.30, 310,249.10 and 73,654.16 is: 110,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,813.30 : 310,249.10 = 73,654.16 : x
  2. Step 2: Convert to fraction form
    206,813.30/310,249.10 = 73,654.16/x
  3. Step 3: Cross multiply
    206,813.30x = 310,249.10 × 73,654.16
  4. Step 4: Simplify right side
    206,813.30x = 22,851,135,484.15
  5. Step 5: Solve for x
    x = 22,851,135,484.15/206,813.30
  6. Step 6: Final answer
    x = 110,491.62

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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.