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Finding the Fourth Proportional to 188,340.41, 259,911.68 and 102,300.23

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Solution

The fourth proportional to 188,340.41, 259,911.68 and 102,300.23 is: 141,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,340.41 : 259,911.68 = 102,300.23 : x
  2. Step 2: Convert to fraction form
    188,340.41/259,911.68 = 102,300.23/x
  3. Step 3: Cross multiply
    188,340.41x = 259,911.68 × 102,300.23
  4. Step 4: Simplify right side
    188,340.41x = 26,589,022,832.63
  5. Step 5: Solve for x
    x = 26,589,022,832.63/188,340.41
  6. Step 6: Final answer
    x = 141,175.35

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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.