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Finding the Fourth Proportional to 132,701.75, 199,052.64 and 34,205.75

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Solution

The fourth proportional to 132,701.75, 199,052.64 and 34,205.75 is: 51,308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,701.75 : 199,052.64 = 34,205.75 : x
  2. Step 2: Convert to fraction form
    132,701.75/199,052.64 = 34,205.75/x
  3. Step 3: Cross multiply
    132,701.75x = 199,052.64 × 34,205.75
  4. Step 4: Simplify right side
    132,701.75x = 6,808,744,840.68
  5. Step 5: Solve for x
    x = 6,808,744,840.68/132,701.75
  6. Step 6: Final answer
    x = 51,308.63

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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.