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Finding the Fourth Proportional to 199,253.85, 274,962.04 and 108,607.83

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Solution

The fourth proportional to 199,253.85, 274,962.04 and 108,607.83 is: 149,874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,253.85 : 274,962.04 = 108,607.83 : x
  2. Step 2: Convert to fraction form
    199,253.85/274,962.04 = 108,607.83/x
  3. Step 3: Cross multiply
    199,253.85x = 274,962.04 × 108,607.83
  4. Step 4: Simplify right side
    199,253.85x = 29,863,029,121.96
  5. Step 5: Solve for x
    x = 29,863,029,121.96/199,253.85
  6. Step 6: Final answer
    x = 149,874.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.