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Finding the Fourth Proportional to 207,200.56, 310,846.36 and 123,037.60

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Solution

The fourth proportional to 207,200.56, 310,846.36 and 123,037.60 is: 184,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,200.56 : 310,846.36 = 123,037.60 : x
  2. Step 2: Convert to fraction form
    207,200.56/310,846.36 = 123,037.60/x
  3. Step 3: Cross multiply
    207,200.56x = 310,846.36 × 123,037.60
  4. Step 4: Simplify right side
    207,200.56x = 38,245,790,103.14
  5. Step 5: Solve for x
    x = 38,245,790,103.14/207,200.56
  6. Step 6: Final answer
    x = 184,583.43

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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.