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Finding the Fourth Proportional to 208,239.98, 312,359.96 and 50,468.43

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Solution

The fourth proportional to 208,239.98, 312,359.96 and 50,468.43 is: 75,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,239.98 : 312,359.96 = 50,468.43 : x
  2. Step 2: Convert to fraction form
    208,239.98/312,359.96 = 50,468.43/x
  3. Step 3: Cross multiply
    208,239.98x = 312,359.96 × 50,468.43
  4. Step 4: Simplify right side
    208,239.98x = 15,764,316,523.72
  5. Step 5: Solve for x
    x = 15,764,316,523.72/208,239.98
  6. Step 6: Final answer
    x = 75,702.64

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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.