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Finding the Fourth Proportional to 109,843.20, 164,764.80 and 96,019.20

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Solution

The fourth proportional to 109,843.20, 164,764.80 and 96,019.20 is: 144,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,843.20 : 164,764.80 = 96,019.20 : x
  2. Step 2: Convert to fraction form
    109,843.20/164,764.80 = 96,019.20/x
  3. Step 3: Cross multiply
    109,843.20x = 164,764.80 × 96,019.20
  4. Step 4: Simplify right side
    109,843.20x = 15,820,584,284.16
  5. Step 5: Solve for x
    x = 15,820,584,284.16/109,843.20
  6. Step 6: Final answer
    x = 144,028.80

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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.