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Finding the Fourth Proportional to 193,076.80, 289,874.40 and 123,092.80

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Solution

The fourth proportional to 193,076.80, 289,874.40 and 123,092.80 is: 184,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,076.80 : 289,874.40 = 123,092.80 : x
  2. Step 2: Convert to fraction form
    193,076.80/289,874.40 = 123,092.80/x
  3. Step 3: Cross multiply
    193,076.80x = 289,874.40 × 123,092.80
  4. Step 4: Simplify right side
    193,076.80x = 35,681,451,544.32
  5. Step 5: Solve for x
    x = 35,681,451,544.32/193,076.80
  6. Step 6: Final answer
    x = 184,804.45

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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.