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Finding the Fourth Proportional to 125,863.25, 173,602.85 and 82,829.03

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Solution

The fourth proportional to 125,863.25, 173,602.85 and 82,829.03 is: 114,245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,863.25 : 173,602.85 = 82,829.03 : x
  2. Step 2: Convert to fraction form
    125,863.25/173,602.85 = 82,829.03/x
  3. Step 3: Cross multiply
    125,863.25x = 173,602.85 × 82,829.03
  4. Step 4: Simplify right side
    125,863.25x = 14,379,354,388.58
  5. Step 5: Solve for x
    x = 14,379,354,388.58/125,863.25
  6. Step 6: Final answer
    x = 114,245.86

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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.