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Finding the Fourth Proportional to 172,682.26, 238,310.85 and 97,237.78

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Solution

The fourth proportional to 172,682.26, 238,310.85 and 97,237.78 is: 134,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,682.26 : 238,310.85 = 97,237.78 : x
  2. Step 2: Convert to fraction form
    172,682.26/238,310.85 = 97,237.78/x
  3. Step 3: Cross multiply
    172,682.26x = 238,310.85 × 97,237.78
  4. Step 4: Simplify right side
    172,682.26x = 23,172,818,003.91
  5. Step 5: Solve for x
    x = 23,172,818,003.91/172,682.26
  6. Step 6: Final answer
    x = 134,193.39

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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.