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Finding the Fourth Proportional to 100,405.20, 150,521.40 and 51,157.20

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Solution

The fourth proportional to 100,405.20, 150,521.40 and 51,157.20 is: 76,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,405.20 : 150,521.40 = 51,157.20 : x
  2. Step 2: Convert to fraction form
    100,405.20/150,521.40 = 51,157.20/x
  3. Step 3: Cross multiply
    100,405.20x = 150,521.40 × 51,157.20
  4. Step 4: Simplify right side
    100,405.20x = 7,700,253,364.08
  5. Step 5: Solve for x
    x = 7,700,253,364.08/100,405.20
  6. Step 6: Final answer
    x = 76,691.78

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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.