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Finding the Fourth Proportional to 109,067.20, 163,504.80 and 73,892.80

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Solution

The fourth proportional to 109,067.20, 163,504.80 and 73,892.80 is: 110,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,067.20 : 163,504.80 = 73,892.80 : x
  2. Step 2: Convert to fraction form
    109,067.20/163,504.80 = 73,892.80/x
  3. Step 3: Cross multiply
    109,067.20x = 163,504.80 × 73,892.80
  4. Step 4: Simplify right side
    109,067.20x = 12,081,827,485.44
  5. Step 5: Solve for x
    x = 12,081,827,485.44/109,067.20
  6. Step 6: Final answer
    x = 110,774.16

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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.