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Finding the Fourth Proportional to 137,179.92, 205,777.84 and 52,940.46

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Solution

The fourth proportional to 137,179.92, 205,777.84 and 52,940.46 is: 79,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,179.92 : 205,777.84 = 52,940.46 : x
  2. Step 2: Convert to fraction form
    137,179.92/205,777.84 = 52,940.46/x
  3. Step 3: Cross multiply
    137,179.92x = 205,777.84 × 52,940.46
  4. Step 4: Simplify right side
    137,179.92x = 10,893,973,507.41
  5. Step 5: Solve for x
    x = 10,893,973,507.41/137,179.92
  6. Step 6: Final answer
    x = 79,413.76

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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.