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Finding the Fourth Proportional to 188,098.40, 259,575.26 and 102,057.04

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Solution

The fourth proportional to 188,098.40, 259,575.26 and 102,057.04 is: 140,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,098.40 : 259,575.26 = 102,057.04 : x
  2. Step 2: Convert to fraction form
    188,098.40/259,575.26 = 102,057.04/x
  3. Step 3: Cross multiply
    188,098.40x = 259,575.26 × 102,057.04
  4. Step 4: Simplify right side
    188,098.40x = 26,491,482,063.99
  5. Step 5: Solve for x
    x = 26,491,482,063.99/188,098.40
  6. Step 6: Final answer
    x = 140,838.42

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