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Finding the Fourth Proportional to 132,886.44, 199,216.75 and 61,850.32

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Solution

The fourth proportional to 132,886.44, 199,216.75 and 61,850.32 is: 92,722.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,886.44 : 199,216.75 = 61,850.32 : x
  2. Step 2: Convert to fraction form
    132,886.44/199,216.75 = 61,850.32/x
  3. Step 3: Cross multiply
    132,886.44x = 199,216.75 × 61,850.32
  4. Step 4: Simplify right side
    132,886.44x = 12,321,619,736.86
  5. Step 5: Solve for x
    x = 12,321,619,736.86/132,886.44
  6. Step 6: Final answer
    x = 92,722.93

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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.