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Finding the Fourth Proportional to 109,060.80, 163,591.20 and 82,816.80

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Solution

The fourth proportional to 109,060.80, 163,591.20 and 82,816.80 is: 124,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,060.80 : 163,591.20 = 82,816.80 : x
  2. Step 2: Convert to fraction form
    109,060.80/163,591.20 = 82,816.80/x
  3. Step 3: Cross multiply
    109,060.80x = 163,591.20 × 82,816.80
  4. Step 4: Simplify right side
    109,060.80x = 13,548,099,692.16
  5. Step 5: Solve for x
    x = 13,548,099,692.16/109,060.80
  6. Step 6: Final answer
    x = 124,225.20

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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.