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Finding the Fourth Proportional to 172,261.80, 258,286.86 and 66,958.02

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Solution

The fourth proportional to 172,261.80, 258,286.86 and 66,958.02 is: 100,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,261.80 : 258,286.86 = 66,958.02 : x
  2. Step 2: Convert to fraction form
    172,261.80/258,286.86 = 66,958.02/x
  3. Step 3: Cross multiply
    172,261.80x = 258,286.86 × 66,958.02
  4. Step 4: Simplify right side
    172,261.80x = 17,294,376,737.62
  5. Step 5: Solve for x
    x = 17,294,376,737.62/172,261.80
  6. Step 6: Final answer
    x = 100,395.89

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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.