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Finding the Fourth Proportional to 203,880.96, 305,273.28 and 166,285.92

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Solution

The fourth proportional to 203,880.96, 305,273.28 and 166,285.92 is: 248,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,880.96 : 305,273.28 = 166,285.92 : x
  2. Step 2: Convert to fraction form
    203,880.96/305,273.28 = 166,285.92/x
  3. Step 3: Cross multiply
    203,880.96x = 305,273.28 × 166,285.92
  4. Step 4: Simplify right side
    203,880.96x = 50,762,648,216.22
  5. Step 5: Solve for x
    x = 50,762,648,216.22/203,880.96
  6. Step 6: Final answer
    x = 248,981.80

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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.