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Finding the Fourth Proportional to 100,409.20, 150,527.40 and 51,161.20

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Solution

The fourth proportional to 100,409.20, 150,527.40 and 51,161.20 is: 76,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.20 : 150,527.40 = 51,161.20 : x
  2. Step 2: Convert to fraction form
    100,409.20/150,527.40 = 51,161.20/x
  3. Step 3: Cross multiply
    100,409.20x = 150,527.40 × 51,161.20
  4. Step 4: Simplify right side
    100,409.20x = 7,701,162,416.88
  5. Step 5: Solve for x
    x = 7,701,162,416.88/100,409.20
  6. Step 6: Final answer
    x = 76,697.78

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