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Finding the Fourth Proportional to 110,460.40, 165,820.20 and 109,682.80

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Solution

The fourth proportional to 110,460.40, 165,820.20 and 109,682.80 is: 164,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,460.40 : 165,820.20 = 109,682.80 : x
  2. Step 2: Convert to fraction form
    110,460.40/165,820.20 = 109,682.80/x
  3. Step 3: Cross multiply
    110,460.40x = 165,820.20 × 109,682.80
  4. Step 4: Simplify right side
    110,460.40x = 18,187,623,832.56
  5. Step 5: Solve for x
    x = 18,187,623,832.56/110,460.40
  6. Step 6: Final answer
    x = 164,652.89

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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.