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Finding the Fourth Proportional to 208,454.72, 311,934.64 and 180,471.02

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Solution

The fourth proportional to 208,454.72, 311,934.64 and 180,471.02 is: 270,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,454.72 : 311,934.64 = 180,471.02 : x
  2. Step 2: Convert to fraction form
    208,454.72/311,934.64 = 180,471.02/x
  3. Step 3: Cross multiply
    208,454.72x = 311,934.64 × 180,471.02
  4. Step 4: Simplify right side
    208,454.72x = 56,295,162,654.13
  5. Step 5: Solve for x
    x = 56,295,162,654.13/208,454.72
  6. Step 6: Final answer
    x = 270,059.43

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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.