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Finding the Fourth Proportional to 193,894.05, 290,684.17 and 87,199.86

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Solution

The fourth proportional to 193,894.05, 290,684.17 and 87,199.86 is: 130,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,894.05 : 290,684.17 = 87,199.86 : x
  2. Step 2: Convert to fraction form
    193,894.05/290,684.17 = 87,199.86/x
  3. Step 3: Cross multiply
    193,894.05x = 290,684.17 × 87,199.86
  4. Step 4: Simplify right side
    193,894.05x = 25,347,618,928.22
  5. Step 5: Solve for x
    x = 25,347,618,928.22/193,894.05
  6. Step 6: Final answer
    x = 130,729.23

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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.