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Finding the Fourth Proportional to 132,851.60, 199,138.96 and 57,951.64

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Solution

The fourth proportional to 132,851.60, 199,138.96 and 57,951.64 is: 86,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,851.60 : 199,138.96 = 57,951.64 : x
  2. Step 2: Convert to fraction form
    132,851.60/199,138.96 = 57,951.64/x
  3. Step 3: Cross multiply
    132,851.60x = 199,138.96 × 57,951.64
  4. Step 4: Simplify right side
    132,851.60x = 11,540,429,319.89
  5. Step 5: Solve for x
    x = 11,540,429,319.89/132,851.60
  6. Step 6: Final answer
    x = 86,867.07

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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.