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Finding the Fourth Proportional to 126,069.40, 188,982.60 and 72,706.60

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Solution

The fourth proportional to 126,069.40, 188,982.60 and 72,706.60 is: 108,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,069.40 : 188,982.60 = 72,706.60 : x
  2. Step 2: Convert to fraction form
    126,069.40/188,982.60 = 72,706.60/x
  3. Step 3: Cross multiply
    126,069.40x = 188,982.60 × 72,706.60
  4. Step 4: Simplify right side
    126,069.40x = 13,740,282,305.16
  5. Step 5: Solve for x
    x = 13,740,282,305.16/126,069.40
  6. Step 6: Final answer
    x = 108,989.83

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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.