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Finding the Fourth Proportional to 110,471.10, 165,536.55 and 82,258.80

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Solution

The fourth proportional to 110,471.10, 165,536.55 and 82,258.80 is: 123,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471.10 : 165,536.55 = 82,258.80 : x
  2. Step 2: Convert to fraction form
    110,471.10/165,536.55 = 82,258.80/x
  3. Step 3: Cross multiply
    110,471.10x = 165,536.55 × 82,258.80
  4. Step 4: Simplify right side
    110,471.10x = 13,616,837,959.14
  5. Step 5: Solve for x
    x = 13,616,837,959.14/110,471.10
  6. Step 6: Final answer
    x = 123,261.54

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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.