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Finding the Fourth Proportional to 107,245.30, 160,895.29 and 75,716.79

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Solution

The fourth proportional to 107,245.30, 160,895.29 and 75,716.79 is: 113,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,245.30 : 160,895.29 = 75,716.79 : x
  2. Step 2: Convert to fraction form
    107,245.30/160,895.29 = 75,716.79/x
  3. Step 3: Cross multiply
    107,245.30x = 160,895.29 × 75,716.79
  4. Step 4: Simplify right side
    107,245.30x = 12,182,474,884.92
  5. Step 5: Solve for x
    x = 12,182,474,884.92/107,245.30
  6. Step 6: Final answer
    x = 113,594.49

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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.