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Finding the Fourth Proportional to 110,182.56, 165,230 and 40,023.52

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Solution

The fourth proportional to 110,182.56, 165,230 and 40,023.52 is: 60,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,182.56 : 165,230 = 40,023.52 : x
  2. Step 2: Convert to fraction form
    110,182.56/165,230 = 40,023.52/x
  3. Step 3: Cross multiply
    110,182.56x = 165,230 × 40,023.52
  4. Step 4: Simplify right side
    110,182.56x = 6,613,086,209.60
  5. Step 5: Solve for x
    x = 6,613,086,209.60/110,182.56
  6. Step 6: Final answer
    x = 60,019.36

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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.