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Finding the Fourth Proportional to 100,114.11, 138,097.44 and 66,122.64

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Solution

The fourth proportional to 100,114.11, 138,097.44 and 66,122.64 is: 91,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.11 : 138,097.44 = 66,122.64 : x
  2. Step 2: Convert to fraction form
    100,114.11/138,097.44 = 66,122.64/x
  3. Step 3: Cross multiply
    100,114.11x = 138,097.44 × 66,122.64
  4. Step 4: Simplify right side
    100,114.11x = 9,131,367,310.04
  5. Step 5: Solve for x
    x = 9,131,367,310.04/100,114.11
  6. Step 6: Final answer
    x = 91,209.59

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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.