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Finding the Fourth Proportional to 100,189.26, 138,195.97 and 67,538.56

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Solution

The fourth proportional to 100,189.26, 138,195.97 and 67,538.56 is: 93,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,189.26 : 138,195.97 = 67,538.56 : x
  2. Step 2: Convert to fraction form
    100,189.26/138,195.97 = 67,538.56/x
  3. Step 3: Cross multiply
    100,189.26x = 138,195.97 × 67,538.56
  4. Step 4: Simplify right side
    100,189.26x = 9,333,556,811.60
  5. Step 5: Solve for x
    x = 9,333,556,811.60/100,189.26
  6. Step 6: Final answer
    x = 93,159.25

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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.