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Finding the Fourth Proportional to 207,914.20, 311,871.30 and 113,435.80

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Solution

The fourth proportional to 207,914.20, 311,871.30 and 113,435.80 is: 170,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,914.20 : 311,871.30 = 113,435.80 : x
  2. Step 2: Convert to fraction form
    207,914.20/311,871.30 = 113,435.80/x
  3. Step 3: Cross multiply
    207,914.20x = 311,871.30 × 113,435.80
  4. Step 4: Simplify right side
    207,914.20x = 35,377,370,412.54
  5. Step 5: Solve for x
    x = 35,377,370,412.54/207,914.20
  6. Step 6: Final answer
    x = 170,153.70

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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.