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Finding the Fourth Proportional to 208,022.96, 311,751.60 and 87,980.08

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Solution

The fourth proportional to 208,022.96, 311,751.60 and 87,980.08 is: 131,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022.96 : 311,751.60 = 87,980.08 : x
  2. Step 2: Convert to fraction form
    208,022.96/311,751.60 = 87,980.08/x
  3. Step 3: Cross multiply
    208,022.96x = 311,751.60 × 87,980.08
  4. Step 4: Simplify right side
    208,022.96x = 27,427,930,708.13
  5. Step 5: Solve for x
    x = 27,427,930,708.13/208,022.96
  6. Step 6: Final answer
    x = 131,850.50

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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.