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Finding the Fourth Proportional to 128,780.20, 193,343.10 and 82,124.20

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Solution

The fourth proportional to 128,780.20, 193,343.10 and 82,124.20 is: 123,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,780.20 : 193,343.10 = 82,124.20 : x
  2. Step 2: Convert to fraction form
    128,780.20/193,343.10 = 82,124.20/x
  3. Step 3: Cross multiply
    128,780.20x = 193,343.10 × 82,124.20
  4. Step 4: Simplify right side
    128,780.20x = 15,878,147,413.02
  5. Step 5: Solve for x
    x = 15,878,147,413.02/128,780.20
  6. Step 6: Final answer
    x = 123,296.50

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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.