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Finding the Fourth Proportional to 175,372.98, 263,098.44 and 81,827.70

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Solution

The fourth proportional to 175,372.98, 263,098.44 and 81,827.70 is: 122,759.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,372.98 : 263,098.44 = 81,827.70 : x
  2. Step 2: Convert to fraction form
    175,372.98/263,098.44 = 81,827.70/x
  3. Step 3: Cross multiply
    175,372.98x = 263,098.44 × 81,827.70
  4. Step 4: Simplify right side
    175,372.98x = 21,528,740,218.79
  5. Step 5: Solve for x
    x = 21,528,740,218.79/175,372.98
  6. Step 6: Final answer
    x = 122,759.73

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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.