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Finding the Fourth Proportional to 109,919.20, 164,878.80 and 26,813.20

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Solution

The fourth proportional to 109,919.20, 164,878.80 and 26,813.20 is: 40,219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,919.20 : 164,878.80 = 26,813.20 : x
  2. Step 2: Convert to fraction form
    109,919.20/164,878.80 = 26,813.20/x
  3. Step 3: Cross multiply
    109,919.20x = 164,878.80 × 26,813.20
  4. Step 4: Simplify right side
    109,919.20x = 4,420,928,240.16
  5. Step 5: Solve for x
    x = 4,420,928,240.16/109,919.20
  6. Step 6: Final answer
    x = 40,219.80

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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.