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Finding the Fourth Proportional to 135,450.32, 186,922.02 and 75,019.64

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Solution

The fourth proportional to 135,450.32, 186,922.02 and 75,019.64 is: 103,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,450.32 : 186,922.02 = 75,019.64 : x
  2. Step 2: Convert to fraction form
    135,450.32/186,922.02 = 75,019.64/x
  3. Step 3: Cross multiply
    135,450.32x = 186,922.02 × 75,019.64
  4. Step 4: Simplify right side
    135,450.32x = 14,022,822,648.47
  5. Step 5: Solve for x
    x = 14,022,822,648.47/135,450.32
  6. Step 6: Final answer
    x = 103,527.42

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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.