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Finding the Fourth Proportional to 206,145.30, 309,108.60 and 73,029.90

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Solution

The fourth proportional to 206,145.30, 309,108.60 and 73,029.90 is: 109,506.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.30 : 309,108.60 = 73,029.90 : x
  2. Step 2: Convert to fraction form
    206,145.30/309,108.60 = 73,029.90/x
  3. Step 3: Cross multiply
    206,145.30x = 309,108.60 × 73,029.90
  4. Step 4: Simplify right side
    206,145.30x = 22,574,170,147.14
  5. Step 5: Solve for x
    x = 22,574,170,147.14/206,145.30
  6. Step 6: Final answer
    x = 109,506.11

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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.