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Finding the Fourth Proportional to 207,653.80, 311,826.30 and 114,226.60

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Solution

The fourth proportional to 207,653.80, 311,826.30 and 114,226.60 is: 171,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,653.80 : 311,826.30 = 114,226.60 : x
  2. Step 2: Convert to fraction form
    207,653.80/311,826.30 = 114,226.60/x
  3. Step 3: Cross multiply
    207,653.80x = 311,826.30 × 114,226.60
  4. Step 4: Simplify right side
    207,653.80x = 35,618,858,039.58
  5. Step 5: Solve for x
    x = 35,618,858,039.58/207,653.80
  6. Step 6: Final answer
    x = 171,530.01

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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.