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Finding the Fourth Proportional to 138,546.62, 191,194.36 and 74,884.22

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Solution

The fourth proportional to 138,546.62, 191,194.36 and 74,884.22 is: 103,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546.62 : 191,194.36 = 74,884.22 : x
  2. Step 2: Convert to fraction form
    138,546.62/191,194.36 = 74,884.22/x
  3. Step 3: Cross multiply
    138,546.62x = 191,194.36 × 74,884.22
  4. Step 4: Simplify right side
    138,546.62x = 14,317,440,517.00
  5. Step 5: Solve for x
    x = 14,317,440,517.00/138,546.62
  6. Step 6: Final answer
    x = 103,340.24

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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.