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Finding the Fourth Proportional to 110,506.20, 165,759.30 and 27,400.20

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Solution

The fourth proportional to 110,506.20, 165,759.30 and 27,400.20 is: 41,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,506.20 : 165,759.30 = 27,400.20 : x
  2. Step 2: Convert to fraction form
    110,506.20/165,759.30 = 27,400.20/x
  3. Step 3: Cross multiply
    110,506.20x = 165,759.30 × 27,400.20
  4. Step 4: Simplify right side
    110,506.20x = 4,541,837,971.86
  5. Step 5: Solve for x
    x = 4,541,837,971.86/110,506.20
  6. Step 6: Final answer
    x = 41,100.30

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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.