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Finding the Fourth Proportional to 193,331.86, 289,928.04 and 66,937.84

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Solution

The fourth proportional to 193,331.86, 289,928.04 and 66,937.84 is: 100,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,331.86 : 289,928.04 = 66,937.84 : x
  2. Step 2: Convert to fraction form
    193,331.86/289,928.04 = 66,937.84/x
  3. Step 3: Cross multiply
    193,331.86x = 289,928.04 × 66,937.84
  4. Step 4: Simplify right side
    193,331.86x = 19,407,156,753.03
  5. Step 5: Solve for x
    x = 19,407,156,753.03/193,331.86
  6. Step 6: Final answer
    x = 100,382.61

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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.