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Finding the Fourth Proportional to 361,268.20, 498,543.86 and 200,119.86

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Solution

The fourth proportional to 361,268.20, 498,543.86 and 200,119.86 is: 276,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,268.20 : 498,543.86 = 200,119.86 : x
  2. Step 2: Convert to fraction form
    361,268.20/498,543.86 = 200,119.86/x
  3. Step 3: Cross multiply
    361,268.20x = 498,543.86 × 200,119.86
  4. Step 4: Simplify right side
    361,268.20x = 99,768,527,467.06
  5. Step 5: Solve for x
    x = 99,768,527,467.06/361,268.20
  6. Step 6: Final answer
    x = 276,161.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.