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Finding the Fourth Proportional to 126,704.65, 174,824.51 and 75,709.75

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Solution

The fourth proportional to 126,704.65, 174,824.51 and 75,709.75 is: 104,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,704.65 : 174,824.51 = 75,709.75 : x
  2. Step 2: Convert to fraction form
    126,704.65/174,824.51 = 75,709.75/x
  3. Step 3: Cross multiply
    126,704.65x = 174,824.51 × 75,709.75
  4. Step 4: Simplify right side
    126,704.65x = 13,235,919,945.97
  5. Step 5: Solve for x
    x = 13,235,919,945.97/126,704.65
  6. Step 6: Final answer
    x = 104,462.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.