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Finding the Fourth Proportional to 188,409.41, 282,614.11 and 88,496.31

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Solution

The fourth proportional to 188,409.41, 282,614.11 and 88,496.31 is: 132,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,409.41 : 282,614.11 = 88,496.31 : x
  2. Step 2: Convert to fraction form
    188,409.41/282,614.11 = 88,496.31/x
  3. Step 3: Cross multiply
    188,409.41x = 282,614.11 × 88,496.31
  4. Step 4: Simplify right side
    188,409.41x = 25,010,305,888.93
  5. Step 5: Solve for x
    x = 25,010,305,888.93/188,409.41
  6. Step 6: Final answer
    x = 132,744.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.