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Finding the Fourth Proportional to 137,877.92, 206,770.37 and 52,468.50

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Solution

The fourth proportional to 137,877.92, 206,770.37 and 52,468.50 is: 78,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,877.92 : 206,770.37 = 52,468.50 : x
  2. Step 2: Convert to fraction form
    137,877.92/206,770.37 = 52,468.50/x
  3. Step 3: Cross multiply
    137,877.92x = 206,770.37 × 52,468.50
  4. Step 4: Simplify right side
    137,877.92x = 10,848,930,896.00
  5. Step 5: Solve for x
    x = 10,848,930,896.00/137,877.92
  6. Step 6: Final answer
    x = 78,685.05

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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.