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Finding the Fourth Proportional to 110,516.20, 165,774.30 and 75,524.20

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Solution

The fourth proportional to 110,516.20, 165,774.30 and 75,524.20 is: 113,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,516.20 : 165,774.30 = 75,524.20 : x
  2. Step 2: Convert to fraction form
    110,516.20/165,774.30 = 75,524.20/x
  3. Step 3: Cross multiply
    110,516.20x = 165,774.30 × 75,524.20
  4. Step 4: Simplify right side
    110,516.20x = 12,519,971,388.06
  5. Step 5: Solve for x
    x = 12,519,971,388.06/110,516.20
  6. Step 6: Final answer
    x = 113,286.30

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1.5x scale

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.