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Finding the Fourth Proportional to 207,732.80, 311,944.80 and 114,305.60

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Solution

The fourth proportional to 207,732.80, 311,944.80 and 114,305.60 is: 171,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,732.80 : 311,944.80 = 114,305.60 : x
  2. Step 2: Convert to fraction form
    207,732.80/311,944.80 = 114,305.60/x
  3. Step 3: Cross multiply
    207,732.80x = 311,944.80 × 114,305.60
  4. Step 4: Simplify right side
    207,732.80x = 35,657,037,530.88
  5. Step 5: Solve for x
    x = 35,657,037,530.88/207,732.80
  6. Step 6: Final answer
    x = 171,648.57

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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.