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Finding the Fourth Proportional to 132,954, 199,319.15 and 61,840.52

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Solution

The fourth proportional to 132,954, 199,319.15 and 61,840.52 is: 92,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,954 : 199,319.15 = 61,840.52 : x
  2. Step 2: Convert to fraction form
    132,954/199,319.15 = 61,840.52/x
  3. Step 3: Cross multiply
    132,954x = 199,319.15 × 61,840.52
  4. Step 4: Simplify right side
    132,954x = 12,325,998,576.16
  5. Step 5: Solve for x
    x = 12,325,998,576.16/132,954
  6. Step 6: Final answer
    x = 92,708.75

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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.