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Finding the Fourth Proportional to 109,737.20, 164,605.80 and 80,212.70

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Solution

The fourth proportional to 109,737.20, 164,605.80 and 80,212.70 is: 120,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,737.20 : 164,605.80 = 80,212.70 : x
  2. Step 2: Convert to fraction form
    109,737.20/164,605.80 = 80,212.70/x
  3. Step 3: Cross multiply
    109,737.20x = 164,605.80 × 80,212.70
  4. Step 4: Simplify right side
    109,737.20x = 13,203,475,653.66
  5. Step 5: Solve for x
    x = 13,203,475,653.66/109,737.20
  6. Step 6: Final answer
    x = 120,319.05

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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.