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Finding the Fourth Proportional to 109,379.80, 164,069.70 and 81,731.80

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Solution

The fourth proportional to 109,379.80, 164,069.70 and 81,731.80 is: 122,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,379.80 : 164,069.70 = 81,731.80 : x
  2. Step 2: Convert to fraction form
    109,379.80/164,069.70 = 81,731.80/x
  3. Step 3: Cross multiply
    109,379.80x = 164,069.70 × 81,731.80
  4. Step 4: Simplify right side
    109,379.80x = 13,409,711,906.46
  5. Step 5: Solve for x
    x = 13,409,711,906.46/109,379.80
  6. Step 6: Final answer
    x = 122,597.70

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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.