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Finding the Fourth Proportional to 193,684.86, 290,544.03 and 53,443.49

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Solution

The fourth proportional to 193,684.86, 290,544.03 and 53,443.49 is: 80,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,684.86 : 290,544.03 = 53,443.49 : x
  2. Step 2: Convert to fraction form
    193,684.86/290,544.03 = 53,443.49/x
  3. Step 3: Cross multiply
    193,684.86x = 290,544.03 × 53,443.49
  4. Step 4: Simplify right side
    193,684.86x = 15,527,685,509.14
  5. Step 5: Solve for x
    x = 15,527,685,509.14/193,684.86
  6. Step 6: Final answer
    x = 80,169.85

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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.