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Finding the Fourth Proportional to 318,014.20, 476,724.84 and 107,504.92

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Solution

The fourth proportional to 318,014.20, 476,724.84 and 107,504.92 is: 161,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,014.20 : 476,724.84 = 107,504.92 : x
  2. Step 2: Convert to fraction form
    318,014.20/476,724.84 = 107,504.92/x
  3. Step 3: Cross multiply
    318,014.20x = 476,724.84 × 107,504.92
  4. Step 4: Simplify right side
    318,014.20x = 51,250,265,786.21
  5. Step 5: Solve for x
    x = 51,250,265,786.21/318,014.20
  6. Step 6: Final answer
    x = 161,157.16

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Why These Related Problems?

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