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Finding the Fourth Proportional to 188,542.27, 260,189.31 and 103,664.80

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Solution

The fourth proportional to 188,542.27, 260,189.31 and 103,664.80 is: 143,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,542.27 : 260,189.31 = 103,664.80 : x
  2. Step 2: Convert to fraction form
    188,542.27/260,189.31 = 103,664.80/x
  3. Step 3: Cross multiply
    188,542.27x = 260,189.31 × 103,664.80
  4. Step 4: Simplify right side
    188,542.27x = 26,972,472,783.29
  5. Step 5: Solve for x
    x = 26,972,472,783.29/188,542.27
  6. Step 6: Final answer
    x = 143,057.96

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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.