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Finding the Fourth Proportional to 361,309.83, 541,793.74 and 133,530.75

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Solution

The fourth proportional to 361,309.83, 541,793.74 and 133,530.75 is: 200,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,309.83 : 541,793.74 = 133,530.75 : x
  2. Step 2: Convert to fraction form
    361,309.83/541,793.74 = 133,530.75/x
  3. Step 3: Cross multiply
    361,309.83x = 541,793.74 × 133,530.75
  4. Step 4: Simplify right side
    361,309.83x = 72,346,122,332.32
  5. Step 5: Solve for x
    x = 72,346,122,332.32/361,309.83
  6. Step 6: Final answer
    x = 200,232.92

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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.