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Finding the Fourth Proportional to 382,983.08, 574,737.06 and 133,665.08

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Solution

The fourth proportional to 382,983.08, 574,737.06 and 133,665.08 is: 200,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,983.08 : 574,737.06 = 133,665.08 : x
  2. Step 2: Convert to fraction form
    382,983.08/574,737.06 = 133,665.08/x
  3. Step 3: Cross multiply
    382,983.08x = 574,737.06 × 133,665.08
  4. Step 4: Simplify right side
    382,983.08x = 76,822,275,103.86
  5. Step 5: Solve for x
    x = 76,822,275,103.86/382,983.08
  6. Step 6: Final answer
    x = 200,589.21

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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.