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Finding the Fourth Proportional to 323,829.92, 485,777.27 and 99,187.76

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Solution

The fourth proportional to 323,829.92, 485,777.27 and 99,187.76 is: 148,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,829.92 : 485,777.27 = 99,187.76 : x
  2. Step 2: Convert to fraction form
    323,829.92/485,777.27 = 99,187.76/x
  3. Step 3: Cross multiply
    323,829.92x = 485,777.27 × 99,187.76
  4. Step 4: Simplify right side
    323,829.92x = 48,183,159,270.22
  5. Step 5: Solve for x
    x = 48,183,159,270.22/323,829.92
  6. Step 6: Final answer
    x = 148,791.56

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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.