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Finding the Fourth Proportional to 110,114.16, 165,171.34 and 27,008.16

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Solution

The fourth proportional to 110,114.16, 165,171.34 and 27,008.16 is: 40,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,114.16 : 165,171.34 = 27,008.16 : x
  2. Step 2: Convert to fraction form
    110,114.16/165,171.34 = 27,008.16/x
  3. Step 3: Cross multiply
    110,114.16x = 165,171.34 × 27,008.16
  4. Step 4: Simplify right side
    110,114.16x = 4,460,973,978.13
  5. Step 5: Solve for x
    x = 4,460,973,978.13/110,114.16
  6. Step 6: Final answer
    x = 40,512.26

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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.