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Finding the Fourth Proportional to 188,675.84, 260,379.96 and 103,796.48

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Solution

The fourth proportional to 188,675.84, 260,379.96 and 103,796.48 is: 143,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,675.84 : 260,379.96 = 103,796.48 : x
  2. Step 2: Convert to fraction form
    188,675.84/260,379.96 = 103,796.48/x
  3. Step 3: Cross multiply
    188,675.84x = 260,379.96 × 103,796.48
  4. Step 4: Simplify right side
    188,675.84x = 27,026,523,310.54
  5. Step 5: Solve for x
    x = 27,026,523,310.54/188,675.84
  6. Step 6: Final answer
    x = 143,243.16

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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.