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Finding the Fourth Proportional to 165,884.40, 248,826.60 and 82,767.60

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Solution

The fourth proportional to 165,884.40, 248,826.60 and 82,767.60 is: 124,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,884.40 : 248,826.60 = 82,767.60 : x
  2. Step 2: Convert to fraction form
    165,884.40/248,826.60 = 82,767.60/x
  3. Step 3: Cross multiply
    165,884.40x = 248,826.60 × 82,767.60
  4. Step 4: Simplify right side
    165,884.40x = 20,594,780,498.16
  5. Step 5: Solve for x
    x = 20,594,780,498.16/165,884.40
  6. Step 6: Final answer
    x = 124,151.40

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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.