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Finding the Fourth Proportional to 323,201.76, 484,500.96 and 109,823.64

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Solution

The fourth proportional to 323,201.76, 484,500.96 and 109,823.64 is: 164,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,201.76 : 484,500.96 = 109,823.64 : x
  2. Step 2: Convert to fraction form
    323,201.76/484,500.96 = 109,823.64/x
  3. Step 3: Cross multiply
    323,201.76x = 484,500.96 × 109,823.64
  4. Step 4: Simplify right side
    323,201.76x = 53,209,659,010.69
  5. Step 5: Solve for x
    x = 53,209,659,010.69/323,201.76
  6. Step 6: Final answer
    x = 164,632.95

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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.